Dice the chicken breast into bite-sized pieces and finely chop the carrots, garlic, ginger, and green onions.
Heat the avocado oil in a large wok or cast-iron skillet over medium-high heat.
Add the chicken to the pan and sauté until golden brown and cooked through, then push the chicken to the outer edges of the pan.
Pour the whisked egg into the center of the pan and scramble quickly until just set, then incorporate with the chicken.
Stir in the carrots, garlic, and ginger, cooking for 2 minutes until the vegetables are tender-crisp.
Add the cooked brown rice, frozen peas, sesame oil, and tamari to the mixture.
Toss all ingredients together over high heat for 3 minutes, allowing the rice to get slightly toasted and fragrant.
Season with black pepper and garnish with fresh green onions before serving hot.