Season the chicken generously with salt and refrigerate uncovered for at least 2 hours or up to 24 hours. This dry brine improves flavor and texture.
Preheat your oven to 275°F. Heat a heavy skillet over medium-high heat and sear the chicken skin-side down until deeply golden. Flip and brown the other sides, then remove from the pan. Deglaze with white wine and scrape up all the browned bits.
Add chopped vegetables, garlic, herbs, butter, lemon zest and juice, and chicken stock. Bring to a boil, then reduce to a simmer. Return the chicken to the pan so the liquid comes about three-quarters of the way up the meat. Cover tightly and braise in the oven for about 90 minutes until very tender.
Remove the chicken and place on a wire rack. Increase oven temperature to 400°F and roast until the skin crisps. Meanwhile, strain and simmer the braising liquid until thickened. Spoon the sauce over the chicken and serve immediately.
Notes
Deep browning during searing builds the best flavor.
Store leftovers up to 4 days refrigerated.
If sauce becomes too salty after reducing, add a splash of unsalted stock or water to balance.