Begin by preheating your oven to 375°F. In a large oven-safe skillet, heat 1 tablespoon of oil over medium-high heat. Season the chicken well with salt and pepper, then cook until both sides are golden brown, about 5 minutes per side. Once done, place the chicken on a plate.
In the same skillet, reduce the heat to medium and add the remaining 2 tablespoons of oil. Add the garlic, thyme, and red pepper flakes, stirring until fragrant, which should take about 1 minute. Then, mix in the broth, sun-dried tomatoes, cream, and Parmesan while seasoning with salt. Bring this mixture to a simmer, then return the chicken and any juices back to the skillet.
Next, move the skillet to the oven and bake the chicken until it is fully cooked, which should take about 10 to 12 minutes. You will know it is done when the juices run clear when pierced with a knife.
After baking, arrange the chicken on a serving platter, drizzle the sauce over the top, and garnish with torn fresh basil.
Notes
This dish pairs beautifully with pasta or a fresh salad.