Preheat oven to 350 degrees F, and spray 3-quart baking dish (13x9") with non-stick cooking spray.
Cover bottom of a baking dish with bite-sized chicken pieces. Sprinkle with dried thyme, paprika, salt, and pepper. Top with torn ham pieces.
Place Swiss cheese slices on top of ham and chicken, so they are covered.
In a small mixing bowl, combine cream of chicken soup, milk, parsley, thyme, garlic powder, salt, and pepper until smooth, thick and creamy.
In a mixing bowl, combine dry stuffing mix with the melted butter. Sprinkle over the top of the baking dish, so it is covered in the buttered stuffing.
Bake for 45 minutes, until golden brown and bubbly.
Spoon mixture over top of the cheese and spread to cover the pan.