Cut the chicken breast into bite-sized pieces, pat dry with a paper towel, and toss in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
In a small jar or bowl, whisk together the fresh orange juice, coconut aminos, grated ginger, minced garlic, and red pepper flakes to create the glaze.
Heat the sesame oil in a large non-stick skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and cook for 5-6 minutes, turning occasionally, until the exterior is golden brown and crispy.
Remove the chicken from the pan and set aside; add the broccoli florets and sliced red bell pepper to the same pan with a tablespoon of water.
Cover the pan for 2 minutes to steam the vegetables until they are bright green and crisp-tender.
Return the chicken to the skillet and pour the orange glaze over the mixture, stirring constantly for 1-2 minutes until the sauce thickens and coats everything beautifully.
Serve the crispy orange chicken and vegetables over the warm cooked brown rice.