Heat oil in a 12 to 14 inch frying pan over medium heat. Add your Canadian bacon and chicken, cook stirring often until browned on all sides, this takes about 6 minutes Then transfer the meat using a slotted spoon into a casserole pan (4-5 quart).
Next add onion, garlic, bell peppers, and celery to hot frying pan, cook until onions are soft (about 10 minutes). Add tomatoes, tomato sauce, bay leaves, thyme, white pepper, cayenne, and parsley; cook, stirring occasionally, until sauce boils. Boil gently, uncovered for 5 minutes.
Finally pour sauce over meats, stir in rice and broth. Cover and bake at 375°F oven until rice is tender to bite (about 45 minutes).