Begin by preheating your air fryer to 400°F (200°C) as per the instructions provided by the manufacturer.
In a mixing bowl, combine shredded pork, zesty salsa verde, and crumbled cojita cheese. Mix thoroughly until well incorporated.
Take a generous tablespoon of the savory mixture and place it on the lower half of a tortilla. Fold the sides in, creating an envelope shape, then roll it tightly from the bottom to secure the filling. Continue this process with the remaining tortillas.
Lightly coat the air fryer basket with nonstick cooking spray. Arrange the burritos in the basket with the seam side facing down, ensuring they are not overcrowded. Give the tops a quick spray of cooking spray as well.
Air fry the burritos for 6 minutes, then repeat the process with any leftover burritos. For an extra kick, serve them warm with additional salsa verde on the side for dipping.