Tie parsley, thyme, and bay leaf in cheesecloth to make a bouquet garni, then add to pan with carrots and onions, stirring to coat with fat. Add wine and deglaze by boiling over high heat, stirring and scraping up brown bits, until liquid is reduced by half, about 3 minutes. Add broth and chicken, skin sides up, with any juices from plate, and simmer, covered, 10 minutes. Add potatoes and salt and pepper to taste and simmer, covered, until chicken is cooked through and potatoes are tender, about 15 minutes.