To a large bowl, add chicken, cream cheese, buffalo sauce, cheddar cheese, mozzarella cheese, and ranch seasoning. Stir until well combined.
Working with one wrapper at a time, place ⅓ cup of the chicken mixture onto the center of the wrapper.
To roll, lightly wet the edges of the wrapper with water. Fold up the bottom corner over the filling. Fold in the right and left corners toward the center, pressing lightly to seal. Roll tightly until the filling is fully enclosed and the edges are sealed.
Preheat the air fryer to 400°F.*
Place the egg rolls into the air fryer basket in a single layer. (Depending on the size of your air fryer, you may need to work in batches.) Spray the tops of the egg rolls with nonstick cooking spray. Air fry for 3-4 minutes. Flip them over, spray again with cooking spray, and air fry for another 3-4 minutes, or until golden brown.
Serve hot with ranch or blue cheese dressing for dipping and extra buffalo sauce if desired.