Preheat oven to 350 degrees. (Omit if you are cooking in an air fryer.)
Place the chicken in a zip-top bag. Using a meat mallet, pound to ¼-inch thickness.
Season on both sides with salt and pepper. (I used ½ teaspoon each.)
Place a piece of chicken on a clean plate and top with ½ ounce each of ham and cheese.
Roll the chicken up and secure with toothpicks.
Place the eggs in a shallow bowl. In another bowl, combine the Parmesan cheese, almond flour, and Italian seasoning.
Dip the chicken in the eggs and then coat with the breadcrumb mixture, pressing the mixture firmly to the surface of the chicken with your hands.