Pat the chicken dry with a paper towel for a beautifully crisp skin. Generously season both sides with salt and black pepper. This step is key to locking in flavor. Leave the chicken at room temperature for an hour while you preheat the oven to 375°F.
Melt butter in your skillet over medium heat. Place the chicken, skin-side down, and sear for about 10 minutes until golden brown. Flip and cook the other side for another 10 minutes. Remove the chicken and set aside, keeping all those tasty drippings in the pan.
Add the sliced onions (or shallots) and garlic to the skillet. Sauté for 8–10 minutes until they’re soft and lightly caramelized. This brings out their natural sweetness and adds depth to your sauce.
Nestle the chicken pieces back into the skillet, layering them over the onions. Sprinkle with fresh tarragon, then pour in chicken stock and white wine. Bring everything to a gentle simmer, letting the flavors combine beautifully.
Cover the skillet with a tight-fitting lid or foil and bake in the preheated oven for 30 minutes. This slow baking process ensures the chicken becomes tender and juicy.
Carefully remove the skillet from the oven and place it back on the stovetop. Remove the chicken temporarily, then stir in the heavy cream. Simmer the mixture gently until it thickens to a velvety sauce. Once ready, return the chicken to the skillet and simmer for an additional 5 minutes to coat it.
Finish with a sprinkle of fresh chopped tarragon for extra fragrance. Serve hot, and watch the compliments roll in!