Cook the rice according to the package directions if it is not already cooked.
Heat the oil in a large skillet over medium heat.
Add the chicken pieces and spread them out in one layer.
Cook for 5–7 minutes, stirring once or twice, until the chicken is no longer pink in the center.
Pour the teriyaki sauce over the chicken and stir to coat.
Add the broccoli and cook for 3–4 minutes until heated through.
Spoon rice into bowls, then top with the chicken mixture and carrots.
Sprinkle sesame seeds on top if using.