How to Make It
Preheat the oven to 375°. Season the chicken all over with salt and pepper. In a large cast-iron skillet or black steel pan, heat the oil. Add half of the chicken skin side down and top the pieces (not the pan) with a pot lid; cook over moderate heat until browned and crisp, 5 to 7 minutes. Transfer skin side up to a large baking dish. Repeat with the remaining chicken. Scatter the artichoke hearts, olives, garlic, lemon slices and thyme in the baking dish.
Pour off the fat from the skillet. Add the artichoke brine, stock, sherry and fish sauce; bring to a boil. Stir in 1 teaspoon of salt, then pour the mixture around the chicken. Cover tightly with foil and braise in the oven for 1 hour, until the chicken is very tender.
Uncover and increase the oven temperature to 400°. Roast the chicken for 15 minutes longer, until the skin is crisp.
Discard the thyme. Transfer to plates and serve.
Look for a natural sea salt with small crystals--it coats food more evenly.