Prepare the chicken fillets by seasoning with salt and pepper.
Heat olive oil in a large skillet over medium-high heat.
Add the chicken fillets to the skillet, cooking for 6-7 minutes on each side until cooked through.
Remove the chicken from the skillet and set aside.
In the same skillet, add minced garlic and red pepper flakes, cooking for about 30 seconds.
Pour in the heavy cream, stirring to combine, and bring to a simmer.
Add grated Parmesan cheese, stirring until fully melted.
Return the chicken to the skillet, coating it in the sauce and simmering for another 2-3 minutes.
Garnish with fresh parsley before serving.