Heat the olive oil in a large pot over medium heat.
Add the chicken and cook until browned, about 5 minutes.
Add the onion, bell pepper, and garlic. Cook until softened, about 5 minutes.
Stir in the tomato sauce, rice, chicken broth, peas, salt, pepper, oregano, cumin, and bay leaf.
Bring to a boil, then reduce heat to low. Cover and simmer for 30 minutes, or until the rice is tender.
Remove the bay leaf. Garnish with chopped cilantro before serving.