Get all your ingredients ready by chopping veggies and measuring seasonings to make cooking quicker and easier.
Warm 1 tablespoon vegetable oil in a large skillet or wok over medium-high heat, then add ground chicken and stir frequently until cooked through and lightly browned, around 5 to 7 minutes.
Slide the cooked chicken to one side and add the rest of the oil on the free side, toss in the diced onion and carrots, cooking them just until they soften, about 2 to 3 minutes.
Clear a spot in the pan and pour in the beaten eggs, stirring constantly until they form soft curds and are fully cooked, then combine the eggs with the chicken and vegetables.
Add the leftover cooked rice, breaking up any clumps and tossing with all the other ingredients; stir-fry everything together for 3 to 4 minutes so the rice gets a little crispy and absorbs the flavors.
Pour in soy sauce and sesame oil, then add frozen peas, mixing well; cook an additional 2 to 3 minutes until heated through and evenly flavored.
Sprinkle white pepper across the fried rice and garnish with sliced green onions right before serving for a fresh finish.