Preheat the oven to 375 F.
Season the chicken breasts with salt and pepper.
In a large, oven safe skillet, heat the olive oil over medium-high heat.
Add the chicken breasts and cook for roughly 5 minutes on one side to brown it. Flip and brown the other side for an additional 3-4 minutes.
Remove the chicken breasts to a plate.
Reduce the temperature to medium.
Add the minced garlic, Italian seasoning, and red pepper flakes.
Cook for 1-2 minutes or until fragrant.
Deglaze the pan with the chicken broth, gently scraping the bottom of the skillet to remove the delicious brown bits.
Stir in the heavy cream, sun-dried tomatoes, and parmesan cheese.
Bring to a simmer. Place the chicken back in the skillet and any juices accumulated on the plate.
Spoon the sauce over the chicken.
Place the skillet in the oven and bake for 15-20 minutes or until the internal temperature of the chicken is 165F.
Remove from the oven and let cool for a minute or two.
Serve over angel hair pasta and garnish with sliced fresh basil or chopped parsley.