01 - Preheat the oven to 400°F.
02 - Pat the chicken thighs dry with paper towels and season both sides generously with salt and freshly ground black pepper.
03 - Heat olive oil and butter in a large ovenproof skillet over medium-high heat. Once the butter has melted and is foaming, place the chicken thighs skin side down. Sear for 5 to 6 minutes until the skin turns deeply golden and crisp. Flip and cook for an additional 2 minutes, then transfer the chicken to a plate.
04 - In the same skillet, add the finely chopped shallot and minced garlic. Cook for 1 to 2 minutes, stirring frequently, until fragrant and softened.
05 - Pour in the chicken broth, using a wooden spoon to scrape up all the browned bits from the bottom of the skillet. Let the liquid simmer for 2 to 3 minutes to reduce slightly.
06 - Reduce the heat to low and stir in the heavy cream, thyme, rosemary, and half of the chopped parsley. Season with additional salt and pepper to taste, then stir until the sauce is smooth and well combined.
07 - Nestle the chicken thighs back into the skillet, skin side up, spooning some of the cream sauce over the top of each piece.
08 - Transfer the skillet to the preheated oven and bake for 15 to 18 minutes, until the chicken reaches an internal temperature of 165°F and is fully cooked through.
09 - Remove the skillet from the oven, sprinkle with the remaining fresh parsley, and serve hot with the pan sauce spooned over each portion.