Heat oil in frying pan. Beat eggs with fork in pie plate. In separate pie plate mix together bread crumbs and Parmesan cheese. Remove skin from zucchini and slice into 1/4 inch slices. Dip slices in egg and then coat with bread crumb mixture. Fry until golden brown on both sides. Remove from pan and drain on paper towels. When cooled place in glass dish. Sprinkle with mozzarella cheese and parsley. Heat in oven at 350 degrees for 5 minutes or until cheese is melted.