2. Pour off all but 1 tablespoon of the fat in the pan. Add the onion, carrot, celery, and garlic and cover. Cook, stirring occasionally, until the vegetables soften, about 5 minutes. Add the wine and bring to a boil, scraping up the bits in pan. Stir in the tomatoes with their juice, and the rosemary and basil. Return the chicken to the pan, nestling the pieces in the sauce, and bring to a boil.
3. Cover and reduce the heat to medium-low. Simmer until the chicken show no sign of pink when pierced at the bone with the tip of a sharp knife, about 40 minutes. During the last 5 minutes, uncover the pan to help reduce the juices.
4. Just before serving, make the gremolata by mixing the parsley, zest, and garlic. Serve chicken and sauce, sprinkling each serving with gremolata.