Preheat oven to 400 degrees F.
Butterfly chicken breasts into thin cutlets. Spread so they are flat. Place each piece in between two pieces of parchment paper and use a meat cleaver to pound them down. They should be no more than 1/4" thick.
Place a slice of ham on top of the flattened chicken and top with cheese.
Roll up the chicken so that the ham and cheese are covered. Use toothpicks to secure. Season with salt and pepper.
In a large cast iron skillet, melt the butter and add oil. Place chicken in the skillet and brown all sides, about 2-3 minutes per side.
Once browned, place the cast iron skillet with the chicken directly in the oven and cook for 25 minutes or until the chicken is cooked through.
Slice into pieces and serve immediately.
by The Savvy Kitchen