Prep and Roll Chicken: Cut the chicken breasts into four 5-ounce portions and pound them with a meat mallet until about ½-inch thick. Roll up a 1-oz. slice of cheese with a 1-oz. slice of ham. Place this at one end of a chicken breast and then roll up the chicken around it. Secure the rolled up chicken with 2-3 toothpicks.
1 ¼ lbs. chicken breasts, 4 oz. Swiss cheese, 4 oz. ham
Bread Chicken: In one medium-sized bowl whisk together the mayonnaise, mustard, milk, flour, salt, and pepper until combined. In a second medium-sized bowl mix together the breadcrumbs and Parmesan cheese. Dip each chicken breast in the mayo mixture, making sure all sides are covered. Next, transfer the chicken to the breadcrumb bowl, flipping the chicken over so it is completely coated.
2 tbsp. mayo, 1 ½ Tbsp. Dijon mustard, 2 Tbsp. milk, 2 Tbsp. flour, ¾ tsp. salt, ¼ tsp. black pepper, ¾ cup Italian breadcrumbs, ¼ cup Parmesan cheese
Sear in Skillet: Add 2 tablespoons butter, or oil, to a large oven-safe skillet over medium heat. Once melted, add the rolled-up chicken in a single layer. Cook for 2-3 minutes, or until a gorgeous crust starts to form and then carefully flip over. (It’s VERY important at this step that you do not disturb the crust too much. So definitely avoid using tongs. Instead, use a flat spatula and swiftly slide it under the crust.) Cook the chicken for an additional 2-3 minutes on the other side.
2 Tbsp. butter
Bake the chicken in a preheated 350 degree oven for 20-25 minutes, or it is cooked through and no longer pink.
Make the Sauce: Add butter to a small saucepan over medium heat. Once melted, add the garlic and continue sauteing for 30 seconds, or until fragrant. Sprinkle in the flour and whisk until combined. Slowly begin adding in the milk, 2-3 tablespoons at a time, whisking well after each addition. Once all of the milk has been added and the sauce has thickened, stir in the cheese, mustard, salt, pepper, and thyme until smooth.
1 tbsp. butter, 1 Tbsp. flour, ½ cup milk, ¼ cup Parmesan cheese, ¼-½ tsp. salt, 1 ½ tsp. Dijon mustard, ½ tsp. thyme
Serve the chicken with a drizzle of the sauce and a sprinkle of finely chopped fresh parsley. Enjoy!