Preheat overn to 350F. Spray 9 x 13″ baking pan with nonstick spray.
pound chicken to ~1/4″ thick.
Sprinkle both sides with salt, pepper, and garlic powder to taste.
Place cheese slices to mostly cover one side of chicken, then spread ham over. Carefully roll chicken up with ham and cheese inside. Use toothpick if needed to hold together.
Bake for 15 minutes; baste with 1 Tbsp butter. Cover and put back in oven for 15 minutes.
Remove from oven and place another slice of cheese on top. Recover and let sit for 10 minutes.