Combine potato, onion, egg, cheese and parsley in medium bowl; blend thoroughly.
Shape into 8 patties and refrigerate for 1 hour (minimum).
Spread bread crumbs onto wax paper. Dip croquettes in crumbs, turning to coat evenly; set aside.
Heat vegetable oil in large skillet on moderate heat. Place croquettes in hot oil; cook about 4 minutes or until brown on each side.
Serve hot.