Preheat your oven to 360 degrees f.
Start by prepping your chicken. Slice each chicken breast in half, lengthways to create 8 thin cutlets.
Lay chicken cutlets down on a working surface and cover with plastic wrap, or parchment paper. Pound with a meat mallet or the bottom of a heavy pot, to about ΒΌ-inch even thickness.
Season lightly with sea salt and pepper on both sides.
Top each chicken cutlet with one slice of ham and sprinkle with about 1 Tablespoon of shredded mozzarella.
Roll up the chicken and secure the ends with toothpicks, as shown.
Heat oil in a large oven-proof skillet over medium-high heat. Sear the chicken roll-ups until nicely browned, then pour in the stock and transfer the skillet to the oven.
Bake for about 15-20 minutes or until just cooked through.
Allow the chicken to cool a bit, then slice, drizzle with juices and sprinkle with parsley.
Serve with broccoli and rice.