Heat a large pan or wok over medium heat and add 1 tablespoon of sesame oil.
Crack the eggs into the pan, scramble them, and then move them to the side.
Increase the heat and add another tablespoon of sesame oil.
Add diced carrots, peas, and green onions.
Stir-fry for about 3-4 minutes until the vegetables are tender.
Add the cooked chicken breast to the pan and stir to combine with vegetables.
Use a spatula to clear a space in the center of the pan.
Add the cooked rice into the space, breaking up any clumps with the spatula.
Pour the soy sauce and oyster sauce over the rice.
Mix everything thoroughly to ensure the rice is well-coated.
Add the scrambled eggs back into the mix.
Stir everything together for another 2-3 minutes until heated through.
Make sure all ingredients are evenly distributed.