Preheat oven to 425 degrees F. Spray a 9x13-inch baking dish with nonstick cooking spray; set aside.
Whisk together eggs in a small bowl; set aside. Combine bread crumbs, parmesan cheese, salt and pepper in a small bowl; set aside.
Using a sharp knife, cut a slit in one side of each chicken breast to create a pocket. Stuff each chicken breast with 1 Tablespoon mozzarella cheese and 1 teaspoon pesto.
Dip each stuffed chicken breast in egg wash, roll in crumb mixture and place in prepared pan. Spray the tops of chicken with nonstick cooking spray.
Bake for 25-30 minutes, or until cooked through (or reaches an internal temperature of 165 degrees F).