Season the chicken breasts with salt and pepper on both sides. In a large skillet, heat the olive oil over medium heat. Add the chicken and cook for about 6-7 minutes on each side, or until the chicken is cooked through and no longer pink in the center. 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. Be careful not to burn it.
Pour in the heavy cream and bring it to a gentle simmer. Stir in the Parmesan cheese, chopped basil, lemon juice, and red pepper flakes (if using). Cook for about 3-4 minutes, stirring occasionally, until the sauce thickens slightly.
Return the cooked chicken to the skillet, spooning the sauce over the top. Let it simmer for an additional 2-3 minutes to heat the chicken through.
Serve the chicken over cooked pasta or rice, drizzling extra sauce on top. Garnish with additional basil if desired.