On chicken breast, lay 1 slice ham, and 1 slice cheese, roll up - (can use tooth pick to hold if needed). Continue with next four breast in same manner.
In dish, whisk eggs. Pour bread crumbs in another dish. In skillet, add 1/4 cup oil for browning and heat to medium. Roll stuffed breasts in egg, then bread crumbs, and fry till golden (couple minutes).
Lay golden breasts in casserole dish and pour soup over top. Bake 375°F for about 40 minutes.