In a large heavy skillet or wok, heat the peanut oil over medium-high heat. Add cooked rice and saute until lightly golden. Add green onions, carrots, green pepper and peas. Stir-fry until vegetables are tender-crisp, about 5 minutes.
Hollow out a circle in the center of the skillet by pushing the vegetables and rice to the sides. Break the egg into the hollow and cook, lightly scrambling the egg as it cooks. Stir the scrambled egg into the rice mixture. Sprinkle with soy sauce, sesame oil and chopped parsley. Serve immediately.