Preheat oven to 350. Roll each chicken breast in flour, dip in beaten egg. Roll in bread crumbs to coat well.
2
Heat butter in a large skillet over medium high heat; add chicken pieces. Cook until browned on all sides, about 10 minutes.
3
Mix marinara sauce and half-and-half in a small bowl. reserving 2 tablespoons. Pour into baking dish. Arrange chicken in prepared dish.
4
Mix mozzarella, Swiss, and Parmesan cheeses in a small bowl. Sprinkle over chicken. Top with reserved sauce. Bake, loosely covered, until cooked through about 30 minutes.