In a large skillet, combine the heavy cream, chicken broth, chopped sun-dried tomatoes, minced garlic, Italian seasoning, salt, and pepper. Stir well to combine.
Add the chicken breasts directly into the skillet, making sure they are submerged under the sauce.
Bring the mixture to a gentle simmer over medium heat, then cover the skillet with a lid.
Cook for about 25-30 minutes, or until the chicken is cooked through and reaches an internal temperature of 165°F (75°C).
Once the chicken is done, remove it from the skillet and set aside on a plate.
Stir in the grated Parmesan cheese into the sauce, and let it simmer for an additional 2-3 minutes until creamy and thickened.
Return the chicken to the skillet and coat it with the creamy sauce.
Serve hot, garnished with fresh basil if desired.
Optionally, add vegetables such as spinach or mushrooms to the sauce for added flavor and nutrition.