Heat oil in large skillet over medium heat. Cook chicken pieces on all sides until almost done. Remove from pan and set aside. In remaining oil, saute oinion, peppers, tomatoes and garlic until tender. Add rice and continue to cook until rice is slightly browned, stirring often. Add broth and seasonings and stir to comine all ingredients. Place chicken pieces over mixture, cover skillet and simmer about 20 minutes on medium low, til all liquid is absorbed. Fluff rice and stir before serving.