Gather all ingredients for easy access.

Whisk eggs together in a small bowl.

Preheat wok or skillet on medium to medium-high heat.

Add peanut oil to the preheated wok or skillet and heat for 1 minute.

Add the whisked eggs to the hot oil and cook for 1 minute without stirring, until the bottom is cooked and the top is moist.

Add the cooked rice to the wok or skillet.

Toss the rice with the cooked eggs, coating the rice and breaking up the egg into smaller pieces.

Stir-fry the rice and egg mixture for 2 minutes.

Add chopped scallions, matchstick carrots, and chopped ham (if using).

Continue to stir-fry for 2 to 3 minutes until vegetables are slightly softened.

Add defrosted frozen peas and soy sauce.

Toss until everything is heated through and evenly coated with soy sauce.

Serve immediately.