Preheat the oven to 375°F (190°C).
In a large skillet, heat olive oil over medium heat.
Season the chicken breasts with salt, pepper, and thyme before adding to the skillet.
Sear the chicken for about 3-4 minutes on each side until golden brown.
Remove the chicken from the skillet and set aside.
In the same skillet, add minced garlic and sauté until fragrant.
Pour in the heavy cream and chicken broth, stirring well to combine.
Stir in grated Parmesan cheese, and let the mixture simmer until slightly thickened.
Return the chicken to the skillet, spooning sauce over each piece.
Transfer the skillet to the preheated oven and bake for 25-30 minutes.
Check for doneness before serving, ensuring the internal temperature has reached 165°F (74°C).
Serve hot, garnished with additional thyme if desired.