Season the chicken with salt and pepper. Dredge in a little flour, then coat in egg white and then in breadcrumbs mixed with Parmigiano Reggiano and parsley.
Heat a shallow layer of oil, about 1/8-inch thick, in large skillet over medium to medium- high heat. Place cooling rack over sheet tray in oven preheated to 200F to keep chicken warm until you serve.
Fry chicken in 2 batches, if necessary, to avoid crowding pan. Cook chicken 5 minutes on each side until deep golden and cooked through.
Meanwhile, in a small pot with a tight fitting lid, heat EVOO, about 2 tablespoons, over medium heat. Add garlic and stir until fragrant, about 2 minutes. Add tomatoes, stir and place lid on pot. Raise heat a bit and cook, shaking pan occasionally, until tomatoes begin to burst, 6-8 minutes. Uncover pot and break up tomatoes with wooden spoon and season with salt and pepper, stir in basil.
Serve cutlets with tomato sauce on top.