A black iron skillet is essential for the authentic preparation of this dish. Sprinkle the chicken on both sides with salt and pepper. Select a skillet large enough to hold the chicken comfortably when it is opened up as for broiling. Fold the chicken wings under to hold them secure.
Melt the butter in the skillet and add the chicken skin-side down. Cover the chicken firmly with a plate that will fit comfortably inside the skillet. Add several weights, approximately five pounds, to the top of the plate. Cook over low heat, checking the skin side of the chicken, until it is nicely browned, about 25 minutes.
Remove the chicken to a warm platter. To the skillet add the onion, celery, green pepper and garlic and cook, stirring, until onions are wilted.
Sprinkle with flour and stir to blend. Add the tomatoes, bay leaf, salt and pepper, stirring rapidly with the whisk. Bring to a boil.
Return the chicken to the sauce skin-side up. Cover with the plate and weights and continue cooking over low heat 45 minutes longer. Remove the chicken to a warm platter and cook down the sauce briefly, stirring. Pour the sauce over the chicken and sprinkle with parsley.