There's no recoil with an air pistol so that and anticipation of it can be ruled out.
It should be easy enough to concentrate on holding the wrist rigid and the problem is probably trigger control, ie. snatching the trigger to coincide with good sight picture.
Try dry firing at a blank wall, concentrating on holding wrist rigid and and slowly squeezing trigger. Then firing live, shoot at blank back of target, concentrating on what you are doing.
Works for me most of the time and when I do produce flyers, I recognise where the problem is.
Walther CP-2 Match, FAS 604 & Tau 7 target pistols, Smith & Wesson 6" & 4" co2 pistol, Crosman 1377,
Baikal IZH 53 pistol, Gamo CFX Royal,177, Umarex SA-10 CO2 pistol.