Make the chicken milanese: Set up a standard breading procedure in three wide deep plates. Fill one with flour, one with the beaten eggs, and one with the panko and grated cheese. Season the chicken breasts with salt and pepper. Using one hand for dry things and one hand for wet things, take each piece of chicken through the breading procedure: dredge lightly in the flour, then the egg wash and then through the bread crumbs. Lay the breaded chicken on a sheet tray and refrigerate for at least one hour.