Cut the chicken breast into bite-sized cubes and toss in a bowl with arrowroot powder until lightly and evenly coated.
In a small glass jar or bowl, whisk together the coconut aminos, raw honey, toasted sesame oil, water, and red pepper flakes to create the sauce.
Heat the avocado oil in a large stainless steel or cast iron skillet over medium-high heat until it begins to shimmer.
Add the chicken pieces to the hot skillet in a single layer and sear for 5 to 6 minutes, turning occasionally until golden brown and cooked through.
Remove the chicken from the pan and set aside on a plate; add the broccoli florets, minced ginger, and minced garlic to the same skillet.
Add a tablespoon of water to the pan to help steam the broccoli and sauté for 3 minutes until the vegetables are bright green and tender-crisp.
Return the cooked chicken to the skillet and pour the sauce over the mixture, stirring constantly for 1 minute until the glaze thickens and coats every piece.
Divide the warm brown rice into a bowl, top with the chicken and broccoli mixture, and garnish with sesame seeds and thinly sliced green onions.