Season the chicken breasts with salt and black pepper on both sides.
In a large skillet, heat the olive oil over medium-high heat. Add the chicken breasts and cook for about 6-7 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set aside.
In the same skillet, add the minced garlic and sauté for about 30 seconds, until fragrant.
Pour in the heavy cream and chicken broth, stirring to combine. Add the Italian seasoning and bring the mixture to a gentle simmer.
Stir in the grated Parmesan cheese until melted and the sauce is creamy. Return the chicken breasts to the skillet, coating them in the sauce. Allow to simmer for an additional 2-3 minutes.
Garnish with fresh parsley before serving.