Line a plate with paper towels, set aside.
Pat the chicken dry with paper towels, then season on both sides with salt, pepper, and Italian seasoning. Combine the breadcrumbs and Parmesan cheese in a shallow bowl. Working with one cutlet at a time, coat in egg, letting excess drip off. Place in the breadcrumbs mixture, pressing gently to get the breadcrumbs to adhere. Repeat until all of the chicken is breaded.
Meanwhile, heat olive oil in a large skillet over medium heat. Add cutlets and cook for 2 to 3 minutes per side, or until golden brown and cooked through.
Let cutlets drain on the plate with paper towels.
Place the rolls on a rimmed sheet pan. Place a cutlet on each roll (you may need to use 2 depending on the size), then top with about 2 tablespoons marinara and 2 slices of mozzarella. Sprinkle each with a little more grated Parmesan cheese. Keep the rolls open.
Preheat your broiler to high. Place the sandwiches under the broiler for 2 to 3 minutes, or until the cheese is melted and bubbly. Garnish with fresh basil, then set the top half of the roll on top and serve immediately.