Set the oven to Gas Mark 5 or 190°C (although you could cook this recipe on the hob). Heat the oil in a flameproof casserole, or paella pan, and fry the chicken pieces until brown all over. Take out of the pan. Add the onion and carrot and fry for 5 mins.
Stir in the paprika, red pepper, garlic and rice and cook for 2 mins, then add the rest of the ingredients. Nestle the chicken pieces on top, bring to the boil and cover with a lid or foil.
Cook in the oven, or on the hob, for 45 mins until the chicken is tender and the rice fluffy.