Dice the chicken breast into small, uniform pieces and season them evenly with sea salt and black pepper.
Heat the avocado oil in a large cast-iron skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the skillet and cook for 5 to 6 minutes, stirring occasionally, until the pieces are golden brown and cooked through.
Push the chicken to the outer edges of the skillet and crack the egg into the center, scrambling it quickly until fully set.
Add the diced carrots, frozen peas, minced garlic, and grated ginger to the pan, sautéing for 3 minutes until the vegetables are tender-crisp.
Incorporate the cooked brown rice, coconut aminos, and sesame oil, stirring constantly to break up any rice clumps.
Continue to cook for another 2 to 3 minutes until the rice is heated through and develops a slightly crispy texture.
Remove the skillet from the heat and garnish the dish with thinly sliced green onions before serving.