How to Make It
Place a rimmed baking sheet in oven, and preheat oven to 500°F. (Do not remove baking sheet while oven preheats.)
Place breadcrumbs in a shallow bowl. Brush cutlets with oil; dredge in breadcrumbs.
Top each cutlet with 1 piece of ham and 1 1/2 tablespoons cheese. Carefully roll cutlets, starting at the short end; secure with wooden picks.
Place roll-ups, seam side down, on preheated baking sheet. Bake in preheated oven 8 minutes. Increase heat to broil; broil until a meat thermometer inserted in thickest portion reads 165°F, 1 to 2 minutes. Sprinkle with parsley.