Whisk together the coconut aminos, honey, sesame oil, minced garlic, and grated ginger in a small bowl to create the teriyaki glaze.
Season the cubed chicken breast evenly with sea salt and black pepper.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sear until golden brown and cooked through, approximately 6 to 8 minutes.
Remove the chicken from the pan and set aside, then add the broccoli florets with two tablespoons of water.
Cover the pan and steam the broccoli for 3 minutes until it is bright green and tender-crisp.
Return the chicken to the pan, pour the teriyaki glaze over the ingredients, and toss for 1 minute until the sauce thickens.
Serve the stir-fry over the warm brown rice and garnish with sesame seeds.