In a small bowl, whisk together the coconut aminos, rice vinegar, honey, arrowroot powder, and red pepper flakes to create the stir-fry sauce.
Dice the chicken breast into bite-sized pieces and season with sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and sear until golden brown and cooked through, approximately 6-8 minutes, then remove from the pan and set aside.
Reduce heat to medium and add the sesame oil to the same pan.
Sauté the broccoli florets, sliced red bell pepper, minced ginger, and minced garlic for 3-4 minutes until the vegetables are tender-crisp.
Return the cooked chicken to the pan and pour the prepared sauce over the chicken and vegetables.
Toss everything constantly for 1-2 minutes until the sauce thickens into a glossy glaze that coats every piece.
Serve the stir-fry immediately over the warm cooked brown rice.