Preparation
Heat the oil in a non-stick paella pan, wok pan or 12-inch skillet. Add the chicken, and cook until golden brown on all sides, about 3 to 5 minutes. Remove from pan and set aside. Add the onions and potatoes and cook, stirring often, until onions have softened and are lightly golden, about 10 to 12 minutes. Season with salt and pepper.
Add carrots, garlic, paprika, cumin, oregano, tomatoes, rice, broth and the cooked chicken. If it appears too dry, add more liquid. Bring to a boil and immediately reduce to a simmer. Cook, covered, for 20 minutes. Remove cover, add the peas to the top without stirring in. Cover and cook 5 minutes more or until rice is cooked through and soft.