01 - Preheat oven to 400°F. Position rack in the center.
02 - Pat the chicken thighs thoroughly dry with paper towels. 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 until the butter foams and begins to subside. Place chicken thighs skin side down and sear for 5 to 6 minutes until the skin is deeply golden and crisp. Flip and cook 2 additional minutes. Transfer to a plate and set aside.
04 - In the same skillet, add the finely chopped shallot and minced garlic. Sauté for 1 to 2 minutes until fragrant and softened, being careful not to let the garlic brown.
05 - Pour in the chicken broth, using a wooden spoon to scrape up all the browned bits from the bottom of the pan. Let it simmer and reduce for 2 to 3 minutes.
06 - Reduce heat to low. Stir in the heavy cream, thyme leaves, chopped rosemary, and half of the parsley. Taste and adjust seasoning with salt and pepper as needed.
07 - Return the chicken thighs to the skillet, skin side up, nestling them into the sauce. Spoon some of the cream mixture over the top. Transfer the skillet to the preheated oven and bake for 15 to 18 minutes, until the internal temperature of the chicken reaches 165°F.
08 - Remove from the oven, sprinkle with the remaining fresh parsley, and serve immediately with the pan sauce spooned over each portion.