Heat olive oil in a skillet and cook pieces of chicken until brown. When done, drain the excess fat and combine the sausage, onion, and chicken into the slow cooker. Scatter the saffron, thyme, paprika, pepper, and garlic over the ingredients and pour the broth and water into the slow cooker.
Cover, and cook for approximately 8 hours on LOW or 5 1/2 hours on HIGH.
When done cooking, add the peas, pepper, and tomatoes to the mixture and serve over cooked rice.