Preheat air fryer to 350°F.
Spread the refried beans among the 4 tortillas. Top with the chicken, corn, shredded cheese and nacho cheese sauce. Fold the tortillas in half.
Pour the oil into the air fryer basket. Place two quesadillas in the basket and fry for 15 minutes. Repeat with remaining quesadillas.
Serve warm with tortilla chips and salsa.