Butterfly each ½ chicken breast (make a horizontal slit through the thicker side, cutting almost to the opposite side). Open breast to form two flaps. Pound to about ¼”.
Place ½ of the prosciutto and cheese on one side of each breast half.
Wrap chicken around filling.
In a shallow bowl, mix egg and cream.
In a shallow plate, spread Parmesan cheese.
Carefully dip each piece of chicken first in egg mixture, then in cheese to coat.
Place chicken on baking sheet, seam down.
Bake about 20 min, until lightly browned on the outside