2Heat oil in a 12-inch heavy skillet over moderate heat until hot but not smoking. While oil is heating, sprinkle chicken with 1 teaspoon salt and 1/2 teaspoon pepper, then dredge, 1 piece at a time, in 3/4 cup flour (total), knocking off excess. Brown in 4 batches, turning over occasionally, until golden, 5 to 6 minutes per batch. Transfer to a platter as browned.
3Stir together carrots, onions, garlic, cream, wine, lemon juice, mustard, thyme, bay leaf, and remaining teaspoon salt and 1/2 teaspoon pepper in a 5- to 6-quart heavy pot, then bring to a gentle boil over moderate heat, stirring occasionally. Add chicken (chicken will not be completely submerged) and partially cover pot, then braise in oven 25 minutes.
