01 -
Stir the mayonnaise and dijon mustard together with a pinch of salt and pepper. Toss half of the sauce with the shredded chicken; set the rest aside.
02 -
Lay each tortilla flat on a clean surface. Cut one straight line from the outer edge to the center point only, dividing the tortilla into four workable sections without cutting all the way through.
03 -
Working clockwise, pile the saucy chicken onto one section, the chopped ham onto the next, the Swiss cheese onto the third, and spread the remaining sauce over the last section.
04 -
Fold the chicken section up and over the ham section. Fold that stack over the cheese section, then fold the whole stack over the sauce section, pressing firmly to seal into a tight folded square.
05 -
Brush both sides of each folded wrap with olive oil. Place seam-side down in a single layer in the preheated air fryer basket and cook at 400°F (200°C) for 8-10 minutes, flipping halfway, until deep golden, crisp, and the cheese has melted through.
06 -
Let the wraps rest for 2 minutes, then slice in half and serve while the center is still steaming hot.