Dice the chicken breast into bite-sized pieces and toss with arrowroot powder, sea salt, and black pepper until lightly coated.
In a small bowl, whisk together the honey, tamari, toasted sesame oil, minced garlic, and grated ginger to create the glaze.
Heat the olive oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the pan and sear until golden brown and cooked through, approximately 5 to 6 minutes.
Remove the chicken from the pan and set aside; add the broccoli and sliced bell peppers to the same skillet with a splash of water.
Sauté the vegetables for 3 to 4 minutes until they are vibrant and tender-crisp.
Return the chicken to the pan and pour the honey-garlic sauce over the mixture.
Toss everything together for 1 to 2 minutes until the sauce thickens and coats the ingredients in a glossy, sticky glaze.