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, coconut aminos, rice vinegar, raw honey, and arrowroot powder until the mixture is smooth and combined.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the chicken cubes to the skillet and cook for 5-6 minutes, stirring occasionally, until the chicken is golden brown and cooked through.
Add the minced garlic and grated fresh ginger to the skillet, sautéing for about 30 seconds until very fragrant.
Toss in the broccoli florets along with a tablespoon of water, then cover the pan for 2 minutes to lightly steam the broccoli until tender-crisp.
Remove the lid and pour the prepared orange sauce mixture over the chicken and broccoli.
Stir constantly for 1-2 minutes as the sauce simmers and thickens into a glossy, translucent glaze.
Serve the orange chicken and broccoli immediately over the portion of warm cooked brown rice.
Garnish the dish with sliced green onions and sesame seeds for a final touch of texture and flavor.