Pound chicken breasts to about 1/2-inch even thickness using a meat mallet; cover with plastic wrap to prevent splatter.
Marinate chicken in Italian-style vinaigrette for at least 10 minutes, then pat dry with paper towels.
Set up a dredging station: one shallow dish with beaten egg; a second dish with panko, Parmesan, dried Italian herbs, garlic powder, and salt mixed together.
Dip each chicken breast in the egg wash, letting excess drip off. Press firmly into the panko mixture to coat both sides thoroughly.
Preheat the air fryer to 380°F for 3 minutes for even cooking.
Lightly spray the air fryer basket (or wire rack insert) with olive oil. Place cutlets in a single layer without overlapping.
Spray the tops of the cutlets generously with olive oil spray to encourage browning.
Air fry at 380°F for 12 minutes total, flipping at the 6-minute mark. After flipping, spray the second side with oil.
Cook until the internal temperature reaches 165°F in the thickest part using an instant-read thermometer.
Let cutlets rest for 2 minutes before serving to set the coating.