Preheat your oven to 375°F (190°C).
In a large oven-safe skillet, heat olive oil over medium-high heat.
Season the chicken breasts with salt and pepper. Sear them in the skillet for about 3 minutes on each side until golden brown. Remove 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 chicken broth and bring to a simmer. Use a wooden spoon to scrape up any brown bits from the bottom of the skillet.
Stir in the heavy cream, grated Parmesan cheese, sun-dried tomatoes, red pepper flakes, and dried oregano. Simmer for about 3-5 minutes until the sauce thickens slightly.
Return the seared chicken breasts to the skillet. Spoon some of the sauce over each piece.
Transfer the skillet to the preheated oven. Bake for 15-20 minutes, or until the chicken is cooked through and reaches an internal temperature of 165°F (74°C).
Remove from the oven, let it rest for a few minutes, then serve hot. Garnish with fresh basil if desired.