The Me 262 was difficult to counter because its high speed and rate of climb made it hard to intercept. However, as with other turbojet engines at the time, the Me 262's engines did not provide sufficient thrust at low air speeds and throttle response was slow, meaning in certain circumstances such as takeoff and landing, the aircraft became a vulnerable target. Another disadvantage that pioneering jet aircraft of the World War II era shared, was the high risk of compressor stall and if throttle movements were too rapid, the engine(s) could suffer a flameout. The coarse opening of the throttle would cause fuel surging and lead to excessive jet pipe temperatures. Pilots were instructed to operate the throttle gently and avoid quick changes. German engineers introduced an automatic throttle regulator later in the war but it only partly alleviated the problem.

The plane had, by contemporary standards, a high wing loading (294.0 kg/m2, 60.2 lbs/ft2) that required higher takeoff and landing speeds. Due to poor throttle response, the engines' tendency for airflow disruption that could cause the compressor to stall was ubiquitous. The high speed of the Me 262 also presented problems when engaging enemy aircraft, the high-speed convergence allowing Me 262 pilots little time to line up their targets or acquire the appropriate amount of deflection. This problem faces any aircraft that approaches another from behind at much higher speed, as the slower aircraft in front can always pull a tighter turn, forcing the faster aircraft to overshoot.

"I passed one that looked as if it was hanging motionless in the air (I am too fast!). The one above me went into a steep right-hand turn, his pale blue underside standing out against the purple sky. Another banked right in front of the Me's nose. Violent jolt as I flew through his airscrew eddies. Maybe a wing's length away. That one in the gentle left-hand curve! Swing her round. I was coming from underneath, eye glued to the sight (pull her tighter!). A throbbing in the wings as my cannon pounded briefly. Missed him. Way behind his tail. It was exasperating. I would never be able to shoot one down like this. They were like a sack of fleas. A prick of doubt: is this really such a good fighter? Could one in fact, successfully attack a group of erratically banking fighters with the Me 262?"
    — Johannes Steinhoff, Luftwaffe fighter ace.

Luftwaffe pilots eventually learned how to handle the Me 262's higher speed and the Me 262 soon proved a formidable air superiority fighter, with pilots such as Franz Schall managing to shoot down seventeen enemy fighters in the Me 262, ten of them American P-51 Mustangs. Other notable Me 262 aces included Georg-Peter Eder, with twelve enemy fighters to his credit (including nine P-51s), Erich Rudorffer also with twelve enemy fighters to his credit, Walther Dahl with eleven (including three Lavochkin La-7s and six P-51s) and Heinz-Helmut Baudach with six (including one Spitfire and two P-51s) amongst many others.

Pilots soon learned that the Me 262 was quite maneuverable despite its high wing loading and lack of low-speed thrust, especially if attention was drawn to its effective maneuvering speeds. The controls were light and effective right up to the maximum permissible speed and perfectly harmonised. The inclusion of full span automatic leading-edge slats, something of a "tradition" on Messerschmitt fighters dating back to the original Bf 109's outer wing slots of a similar type, helped increase the overall lift produced by the wing by as much as 35% in tight turns or at low speeds, greatly improving the aircraft's turn performance as well as its landing and takeoff characteristics. As many pilots soon found out, the Me 262's clean design also meant that it, like all jets, held its speed in tight turns much better than conventional propeller-driven fighters, which was a great potential advantage in a dogfight as it meant better energy retention in maneuvers.

Too fast to catch for the escorting Allied fighters, the Me 262s were almost impossible to head off. As a result, Me 262 pilots were relatively safe from the Allied fighters, as long as they did not allow themselves to get drawn into low-speed turning contests and saved their maneuvering for higher speeds. Combating the Allied fighters could be effectively done the same way as the U.S. fighters fought the more nimble, but slower, Japanese fighters in the Pacific.

Allied pilots soon found that the only reliable way to destroy the jets, as with the even faster Me 163B Komet rocket fighters, was to attack them on the ground or during takeoff or landing. Luftwaffe airfields identified as jet bases were frequently bombed by medium bombers, and Allied fighters patrolled over the fields to attack jets trying to land. The Luftwaffe countered by installing extensive flak alleys of anti-aircraft guns along the approach lines to protect the Me 262s from the ground—and by providing top cover during the jets' takeoff and landing with the most advanced Luftwaffe single-engined fighters, the Focke-Wulf Fw 190D and (just becoming available in 1945) Focke-Wulf Ta 152H. Nevertheless, in March–April 1945, Allied fighter patrol patterns over Me 262 airfields resulted in numerous jet losses.

As the Me 262A's pioneering Junkers Jumo 004 axial-flow jet engines needed careful nursing by their pilots, these jet aircraft were particularly vulnerable during takeoff and landing. Lt. Chuck Yeager of the 357th Fighter Group was one of the first American pilots to shoot down an Me 262, which he caught during its landing approach. On 7 October 1944, Lt. Urban Drew of the 365th Fighter Group shot down two Me 262s that were taking off, while on the same day Lt. Col. Hubert Zemke, who had transferred to the Mustang equipped 479th Fighter Group, shot down what he thought was a Bf 109, only to have his gun camera film reveal that it may have been an Me 262. On 25 February 1945, Mustangs of the 55th Fighter Group surprised an entire Staffel of Me 262As at takeoff and destroyed six jets.

The British Hawker Tempest scored several kills against the new German jets, including the Messerschmitt Me 262. Hubert Lange, a Me 262 pilot, said: "the Messerschmitt Me 262's most dangerous opponent was the British Hawker Tempest—extremely fast at low altitudes, highly manoeuvrable and heavily armed." Some were destroyed with a tactic known to the Tempest 135 Wing as the "Rat Scramble": Tempests on immediate alert took off when an Me 262 was reported airborne. They did not intercept the jet, but instead flew towards the Me 262 and Ar 234 base at Hopsten air base. The aim was to attack jets on their landing approach, when they were at their most vulnerable, travelling slowly, with flaps down and incapable of rapid acceleration. The German response was the construction of a "flak lane" of over 150 emplacements of the 20 mm Flakvierling quadruple autocannon batteries at Rheine-Hopsten to protect the approaches. After seven Tempests were lost to flak at Hopsten in a week, the "Rat Scramble" was discontinued.

Sources:
Gunston, Bill & Wood, Tony - Hitler's Luftwaffe, 1977, Salamander Books Ltd., London
Wikipedia - ME 262