Season the chicken breasts with salt and black pepper on both sides.
In a large skillet, heat the olive oil over medium heat. Add the chicken breasts and cook for about 6-7 minutes on each side, or until they are 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 1 minute until fragrant.
Pour in the heavy cream and chicken broth, stirring to combine. Bring the mixture to a gentle simmer.
Add the chopped basil, red pepper flakes (if using), and Parmesan cheese to the skillet. Stir until the cheese is melted and the sauce is well combined.
Return the cooked chicken to the skillet, spooning the sauce over the top. Let it simmer for an additional 2-3 minutes to heat through.
Serve the chicken with the creamy basil sauce drizzled on top.