On a plate, combine first 3 ingredients (bread crumbs through Parmesan). On another plate, place beaten egg.

If chicken breast halves are plump, place them between two sheets of plastic wrap and flatten them to about 1/4-inch thickness.

Slowly heat the butter and olive oil in a large skillet over medium heat. Dip chicken first into the egg then dredge in the crumb mixture; add to the skillet and brown for 5 minutes per side or until done.