Dice the chicken breast into small bite-sized pieces and season evenly with sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat until it begins to shimmer.
Add the chicken to the pan and cook, stirring occasionally, until golden brown and cooked through, about 5 to 6 minutes.
Push the chicken to one side of the pan, crack the egg into the empty space, and scramble until just set.
Stir in the diced carrots, frozen peas, minced garlic, and grated ginger, sautéing for 2 minutes until the vegetables are tender-crisp.
Add the cooked brown rice, tamari, and sesame oil to the skillet, tossing everything together over high heat until the rice is slightly crispy.
Remove from heat, garnish with thinly sliced green onions, and serve immediately.