Pat the chicken breast dry with a paper towel and cut into small bite-sized cubes.
Toss the chicken in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the toasted sesame oil in a large non-stick skillet or wok over medium-high heat.
Add the chicken to the pan in a single layer and cook for 3-4 minutes until golden brown and crispy on all sides.
Remove the chicken from the pan and set aside, then add the frozen peas, carrots, minced garlic, and grated ginger to the same skillet.
Sauté the vegetables for 2 minutes, then push them to one side of the pan and crack the egg into the empty space.
Scramble the egg until just set, then add the cooked brown rice and coconut aminos to the pan.
Toss everything together for 2-3 minutes, breaking up any rice clumps, then stir the crispy chicken and sliced green onions back in before serving.