Slice chicken breasts horizontally.
Pound chicken evenly under plastic wrap.
Season chicken lightly with salt.
Add pepper evenly across surfaces.
Layer ham over flattened chicken.
Place cheese slices on ham.
Roll chicken tightly into logs.
Secure rolls firmly with plastic wrap.
Chill rolls for fifteen minutes.
Prepare flour, eggs, and breadcrumbs.
Dredge chicken in flour evenly.
Dip chicken into beaten eggs.
Coat thoroughly with breadcrumb mixture.
Heat oil and butter in skillet.
Fry until golden on all sides.
Transfer to baking tray with rack.
Bake until fully cooked inside.
Rest before slicing and serving.