01 - Preheat oven to 350°F.
02 - Pat chicken pieces dry and season generously on all sides with salt and pepper.
03 - In a large Dutch oven, heat olive oil and 1 tbsp butter over medium-high heat. Brown chicken on both sides in batches for 3-4 minutes per side. Set aside.
04 - Add remaining butter to the pot. Sauté onions, carrots, and garlic for 4-5 minutes until softened. Sprinkle with flour and cook 1 minute more.
05 - Deglaze with Calvados, then add cider. Stir well, scraping browned bits from the bottom of the pot.
06 - Add chicken stock and return browned chicken to the pot. Add apple slices, bay leaf, and thyme sprigs. Bring to a simmer.
07 - Cover the pot and transfer to oven. Bake for 50 minutes.
08 - Uncover and stir in heavy cream. Bake uncovered for 10-15 minutes until sauce thickens slightly and chicken is tender.
09 - Remove bay leaf and thyme sprigs. Taste and adjust seasoning. Serve hot with additional thyme if desired.