The AVG NEVER encountered a Zero.
The Zero was Japanese Navy; a few were deployed to China before the the AVG arrived (hence Chennault knew of their capabilities) but they were later withdrawn.
All of the AVG's fighting was against the Japanese Army, with the fighters mostly being Nates and Oscars.
AVG did encounter a lot of combat against the Ki-43 "Oscar," a plane that had excellent maneuverability but its relatively low top speed and extreme vulnerability to gunfire made it a sitting duck for any modern American fighter.