Cut the chicken breast into bite-sized cubes and toss them in a bowl with the arrowroot powder until lightly coated.
In a small jar, whisk together the coconut aminos, rice vinegar, honey, and toasted sesame oil to create the sauce base.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the chicken cubes to the skillet and sear until golden brown and cooked through, approximately 6-8 minutes, then set aside on a plate.
In the same skillet, add the broccoli florets and sliced red bell pepper with a tablespoon of water; cover and steam for 3 minutes until tender-crisp.
Stir in the minced garlic, grated fresh ginger, and red pepper flakes, sautéing for 30 seconds until fragrant.
Return the cooked chicken to the skillet and pour the sauce over the mixture, stirring constantly until the sauce thickens into a sticky glaze.
Serve the glazed chicken and vegetables over the warm brown rice and garnish with sesame seeds.