Step 1. Preheat your oven to 375°F (190°C).

Step 2. Season the chicken breasts with salt and pepper on both sides. Place them in a greased baking dish.

Step 3. Pour the Caesar dressing over the chicken breasts, coating them evenly. Sprinkle the grated Parmesan cheese on top.

Step 4. Bake in the preheated oven for 25-30 minutes, or until the chicken is cooked through and reaches an internal temperature of 165°F (74°C).

Step 5. Remove the dish from the oven and sprinkle shredded mozzarella cheese on top of each chicken breast. Return to the oven and bake for an additional 5-7 minutes, or until the cheese is melted and bubbly.

Step 6. Remove from the oven, garnish with chopped parsley if desired, and serve hot.