01 - Preheat the oven to 350°F.
02 - Pat the duck dry with paper towels. Season thoroughly with kosher salt and freshly ground black pepper, including inside the cavity.
03 - Heat olive oil in a large Dutch oven or heavy ovenproof pot over medium-high heat.
04 - Place the duck breast side down in the pot. Sear for 5–7 minutes until the skin is crisp and golden. Turn and brown the other side for 5 minutes. Remove the duck and set aside.
05 - Pour off excess rendered fat from the pot, leaving about 2 tablespoons.
06 - Add the carrots, parsnips, leeks, onion, celery, and garlic to the pot. Sauté for 7–8 minutes until lightly browned.
07 - Deglaze the pot with dry white wine, scraping up any browned bits from the bottom. Reduce the wine by half, about 2–3 minutes.
08 - Return the duck to the pot, nestling it atop the vegetables. Add the chicken stock, thyme sprigs, rosemary sprigs, and bay leaf.
09 - Cover the pot and transfer to the oven. Braise for 1½ hours, basting the duck halfway through.
10 - Remove the lid and increase the oven temperature to 425°F. Roast uncovered for 20 minutes until the duck skin is deeply crisp and golden.
11 - Remove the duck from the pot and let it rest for 10 minutes before carving. Serve alongside the braised vegetables with a ladle of cooking juices, garnished with fresh parsley if desired.