Heat olive oil or butter in a large skillet over medium heat. Season the chicken with salt, pepper, and Italian seasoning. Cook until golden brown and fully cooked, about 6-8 minutes. Remove and set aside.

In the same pot, add more butter if necessary. Stir in minced garlic and cook for about 30 seconds, or until fragrant.

Pour in the chicken broth and heavy cream. Bring this mixture to a boil.

Stir in the uncooked penne, mixing occasionally to prevent sticking. Cover and let it simmer for 10-12 minutes, until the pasta is tender and the sauce thickens.

Return the cooked chicken to the skillet. Stir in Parmesan, and mozzarella if you choose, until your dish is smooth and creamy. Adjust seasoning with salt and pepper as preferred.

Finally, top with chopped parsley and additional Parmesan. Serve hot for a delicious one-pot meal!