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 red pepper flakes. Sauté for about 1 minute until fragrant, being careful not to burn the garlic.
Pour in the heavy cream and bring to a simmer. Stir in the grated Parmesan cheese until melted and the sauce is smooth.
Return the chicken to the skillet, coating it well with the creamy sauce. Let it simmer for an additional 2-3 minutes to heat through.
Serve the chicken hot, garnished with fresh parsley.