You don’t want to use quick-cooking rice for this recipe. Depending on the type of rice you use it could take up to 45 minutes until the rice is fully cooked. Check the package cooking instructions of the rice. If it suggests 40 to 45 minutes then wait until there are about 20 minutes left of cooking time to add the chicken. If however, the rice only takes about 20 minutes to cook then you can add the chicken at the same time as the other ingredients.