Heat oil in a large pot over medium-high heat. Add chicken pieces; brown on all sides and cook until tender (20 to 25 minutes). Add sausage, Creole seasoning and salt. Cover, reduce heat to low, and cook until chicken is well done, about 30 minutes.
    Remove chicken and sausage and drain all except 1/3 of drippings from the pot. Add onions, celery, bell pepper and garlic; sauté until tender. Stir in tomato sauce and salt and return chicken (deboned, if preferred), and sausage to the pot. Cover and simmer about 10 minutes. Add the parsley and green onion tops, cooking another 5 minutes, covered. Fold in cooked rice and simmer another 10 minutes. Serve hot.