Season the chicken breasts with salt and pepper on both sides.
In a large skillet, heat the olive oil over medium-high heat. Add the chicken breasts and sear for about 5-7 minutes on each side, or until golden brown and cooked through. Remove the chicken from the skillet and set it aside.
In the same skillet, add the minced garlic and sauté for about 30 seconds until fragrant. Then, add the sun-dried tomatoes (with some of the oil) and cook for an additional 2 minutes, stirring frequently.
Pour in the chicken broth and heavy cream, stirring well to combine. Bring the mixture to a gentle simmer. Add the dried basil, dried oregano, and Parmesan cheese, stirring until the cheese has melted and the sauce is creamy.
Return the chicken breasts to the skillet, spooning the sauce over them. Let everything simmer together for another 3-5 minutes to meld the flavors.
Plate the chicken and drizzle the creamy sun-dried tomato sauce over the top. Garnish with fresh basil leaves before serving.