Cut the chicken breast into bite-sized cubes and season evenly with sea salt and black pepper.
In a small bowl, whisk together the fresh orange juice, orange zest, tamari, honey, grated ginger, minced garlic, and arrowroot powder until smooth.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the chicken cubes to the skillet and sear for 5-6 minutes, turning occasionally, until golden brown and cooked through.
Add the diced red bell peppers to the skillet and sauté for an additional 2 minutes until slightly softened.
Pour the orange sauce mixture into the skillet with the chicken and peppers, stirring constantly for 1-2 minutes until the glaze thickens and coats the chicken.
While the chicken finishes, steam the broccoli florets until they are tender-crisp and bright green.
Serve the glazed chicken and peppers over the warm cooked brown rice with the steamed broccoli on the side.