Place a rack near the center of the oven and preheat the oven to 350 degrees F. Place a piece of parchment paper or a silicone mat in a baking sheet and set aside.
Butterfly the chicken breast and using a meat mallet or rolling pin, flatten each chicken breast to about a 1/2 inch.
Spread a quarter of the mixture onto each chicken breast; top each with swiss cheese. Carefully roll up the chicken and secure with toothpicks.
Place the beaten eggs in a shallow dish. In another shallow dish, combine Panko crumbs, parmesan cheese, Italian seasoning, salt, and pepper. Dip each chicken breast in the eggs and then into the panko parmesan mixture. Make sure the breasts are well coated. Discard any extra mixture.
Place chicken on the prepared baking sheet. Bake 40-45 minutes or until chicken is no longer pink in center and the outside is golden brown. Serve warm.