Pat the chicken breast dry with a paper towel and cut into bite-sized pieces.
In a small bowl, toss the chicken with arrowroot starch, sea salt, and black pepper until evenly coated.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and sear for 3-4 minutes per side until golden brown and crispy, then remove and set aside.
Add the broccoli and carrots to the same skillet, sautéing for 3 minutes until tender-crisp.
Stir in the minced garlic and grated ginger, cooking for 30 seconds until fragrant.
Add the cooked brown rice and toasted sesame oil to the skillet, stirring to combine with the vegetables.
Push the rice and vegetable mixture to the sides of the pan to create a well in the center.
Crack the egg into the well and scramble until fully cooked, then incorporate it into the rice mixture.
Return the crispy chicken to the skillet and pour the coconut aminos over the top.
Toss everything together for 1 minute to heat through and glaze the ingredients.
Garnish with sliced green onions and sesame seeds before serving.