Pat the chicken breast dry with a paper towel and cut into 1-inch bite-sized cubes.
In a small bowl, toss the chicken cubes with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and sear for 3-4 minutes per side until golden brown and cooked through, then remove and set aside.
In the same skillet, add the broccoli florets and sliced red bell pepper with a tablespoon of water; cover and steam-sauté for 3 minutes until vibrant and tender.
While the vegetables cook, whisk together the tamari, grated ginger, minced garlic, raw honey, and toasted sesame oil in a small jar.
Return the cooked chicken to the skillet and pour the sauce over the mixture, tossing constantly for 1 minute until the glaze is thick and glossy.
Serve the stir-fry immediately over the warm cooked brown rice and garnish with a sprinkle of sesame seeds.