Cut the chicken breast into bite-sized cubes and toss them in a bowl with the arrowroot powder until evenly coated.
In a small jar or bowl, whisk together the tamari, honey, rice vinegar, minced ginger, minced garlic, and red pepper flakes to create the sauce.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the chicken to the skillet and sear for 5-6 minutes, turning occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set aside; add the broccoli and sliced bell pepper to the same pan with a tablespoon of water, covering for 2 minutes to steam.
Return the chicken to the pan and pour the sauce over the mixture, stirring constantly for 1 minute until the glaze thickens and becomes glossy.
Remove from heat, drizzle with sesame oil, and serve immediately over the warm cooked rice.