Boil giblets in 4 C water with the leaves from one stalk of celery and 1 whole green onion for 20 minutes or until tender. Separate and chop the liver and gizzards.
Heat 1 tbs cooking oil on a black iron pot and saute pork and gizzards for 6 minutes or until brown. Add seasonings, onions, celery, bell pepper, garlic, and butter. Stir thoroughly and simmer for 10 minutes. Add stock and simmer for 5 minutes. Add the rice, liver, green onions, and parsley. Stir and simmer for 5 minutes.
Cover and reduce heat to the lowest setting and cook for 10-20 minutes or until the rice is fluffy. Do not stir once the heat has been reduced, as this will make the rice very pasty and sticky.