Cut the chicken breast into bite-sized 1-inch cubes and season evenly with the sea salt and black pepper.
In a small bowl, whisk together the fresh orange juice, coconut aminos, toasted sesame oil, minced ginger, minced garlic, and arrowroot powder until the mixture is smooth and combined.
Place the broccoli florets in a steamer basket over a pot of boiling water, cover, and steam for 4-5 minutes until they are bright green and crisp-tender.
Heat the avocado oil in a large non-stick skillet over medium-high heat until shimmering.
Add the chicken cubes to the skillet in a single layer and sear for 5-6 minutes, turning occasionally, until golden brown and cooked through.
Pour the prepared orange sauce mixture into the skillet over the chicken.
Simmer the sauce for 1-2 minutes while stirring constantly, until the glaze thickens and coats the chicken pieces beautifully.
Serve the glazed chicken immediately over the warm cooked brown rice with the steamed broccoli on the side.