Preheat oven to 350 degrees.
In a bowl, place eggs and beat until blended. In another bowl, place bread crumbs, and the Parmesan cheese in a third flat bowl. Dip chicken breast in beaten egg, coat with bread crumbs and dip back into beaten egg. Lastly, dip in Parmesan cheese.
Heat oil in fry pan over medium high heat. Add chicken breasts, one at a time, and brown on both sides. While chicken is browning, combine butter, whipping cream, and Parmesan cheese in a saucepan over medium heat. Heat until mixture boils and let boil for a few minutes.
Place browned chicken in baking dish and pour cream mixture over chicken. Bake in 350 degree preheated oven for 45 minutes or until juices run clear. Makes 6 servings. Enjoy!