In a small bowl, whisk together the coconut aminos, rice vinegar, honey, toasted sesame oil, arrowroot powder, and red pepper flakes until smooth.
Place the broccoli florets in a steamer basket over boiling water and steam for 3 to 4 minutes until vibrant green and tender-crisp.
Heat the avocado oil in a large skillet or wok over medium-high heat.
Add the cubed chicken breast to the skillet and sear for 5 to 6 minutes, turning occasionally, until golden brown and cooked through.
Stir in the minced ginger and garlic, cooking for 30 seconds until fragrant.
Pour the sauce mixture into the skillet and toss with the chicken for 1 minute until the glaze thickens and becomes glossy.
Add the steamed broccoli to the skillet and toss gently to coat everything in the sauce.
Serve the chicken and broccoli over the cooked brown rice, garnished with sesame seeds and sliced green onions.