In 12-inch cast-iron skillet, heat oil. Add ground chicken and chicken livers. Cook, stirring occasionally and breaking up any large chunks, until liver is starting to stick to pan, about 10 minutes.
Add 1/3 cup of the chicken broth, the garlic, chile, parsley, Creole seasoning and red pepper; cook until broth evaporates. Add celery and onion; cook until soft. Stir in the rice and remaining broth. Stir until liquid is absorbed, then sprinkle with green onions. Serve immediately.