Braised Chicken with Artichokes and Peas

Put flour in a shallow bowl. Pat chicken dry and sprinkle with 1/2 teaspoon salt and 1/4 teaspoon pepper, then dredge, 1 piece at a time, in flour, shaking off excess. Transfer to a sheet of wax paper as coated.
Heat 1 tablespoon oil in a 12-inch heavy skillet over moderately high heat until hot but not smoking, then sauté chicken, skinned sides down first, turning over once, until deep golden brown, 6 to 8 minutes total. Transfer to a plate (chicken will not be fully cooked).
Add onion with remaining tablespoon oil to skillet and cook over moderate heat, stirring, until golden brown around edges, about 6 minutes. Add wine and boil, stirring and scraping up any brown bits, 1 minute. Stir in broth, artichokes, and remaining 1/2 teaspoon salt. Return chicken to skillet along with any juices from plate and bring to a boil over high heat. Cover skillet and reduce heat, then simmer until chicken is tender, about 25 minutes. Stir in peas and simmer, covered, 5 minutes.
Transfer chicken to a shallow serving dish. Stir parsley and remaining 1/4 teaspoon pepper into artichoke mixture, then spoon over chicken.