While the marinara is reducing in the skillet on the griddle, set up a dredging station by preparing the following wide-bottomed bowls: Bowl 1 - flour; bowl 2 - beaten eggs; bowl 3 - Italian breadcrumbs, garlic powder, dried parsley, dried basil, salt, pepper, and red pepper flake (if using).
Pound out the chicken breasts until they are even in thickness (about ⅓ - ½" thick).
Bread the chicken breasts by adding them to each of the dredging bowls in order, one at a time. Coat one chicken breast in a thin even layer of flour and shake off excess. Transfer the flour-coated breast to the egg bowl, and coat with the egg. Then, transfer the breast to bowl 3 with the Italian breadcrumbs. Gently toss to coat the breast in the breadcrumb mixture. Then, transfer the breaded chicken to a plate. Follow these steps until all chicken breasts are breaded.
Add a good amount of oil to the heated griddle surface, enough to shallow fry the chicken breasts. Add the breaded chicken breasts to the oil, and cook on the first side until that side is golden brown and crispy. *You may need to use your scraper to move the oil towards the chicken, so there is enough oil to get the chicken crispy.
Add another bit of fresh oil to the griddle in a clear spot, and flip your chicken breasts to the second side in the fresh oil. Continue to cook on the second side until chicken is golden brown and reaches an internal temp of 165 degrees F.
Place a wire rack on top of the griddle surface. Transfer the cooked chicken to the wire rack, and top the chicken with mozzarella cheese. Place a melting dome over the chicken to melt the cheese. When cheese is melted, transfer chicken to a plate.