Preheat the oven to 375 F. In a large oven-safe skillet, heat oil over medium-high heat. Season chicken generously with salt and pepper and sear until golden, about 4-5 minutes per side. Transfer chicken to a plate.
Return the skillet to medium heat. Add garlic and cook for 1 minute. Stir in thyme, red pepper flakes, chicken broth, and heavy cream. Cook for 5 minutes, stirring often. Stir in sundried tomatoes and parmesan cheese.
Return chicken to skillet and spoon sauce all over the chicken breasts.
Bake until chicken is cooked through, about 30 minutes. Garnish with basil and grated parmesan cheese, if so desired.
You can serve it with angel hair pasta or alongside mashed potatoes.