Pat the chicken breast dry with paper towels and cut into bite-sized pieces.
Place the chicken in a bowl and toss with the arrowroot powder, sea salt, and black pepper until evenly coated.
In a small jar or bowl, whisk together the orange juice, tamari, honey, minced ginger, and minced garlic to create the glaze.
Heat the avocado oil in a large skillet or wok over medium-high heat.
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 transfer to a plate.
Add the broccoli florets and sliced bell peppers to the same skillet with a tablespoon of water, cover, and steam for 2 minutes until tender-crisp.
Return the chicken to the skillet and pour the orange glaze over the mixture.
Stir constantly for 1-2 minutes until the sauce thickens and coats the chicken and vegetables in a glossy glaze.
Serve the stir-fry immediately over the warm cooked brown rice.