In a small bowl, whisk together the coconut aminos, honey, minced fresh ginger, and minced garlic to create the teriyaki glaze.
Cut the chicken breast into bite-sized pieces and season 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 5 to 7 minutes.
Remove the chicken from the pan and set aside; add the broccoli florets to the same pan with a tablespoon of water.
Cover the pan for 2 minutes to steam-sauté the broccoli until it is vibrant green and tender-crisp.
Return the chicken to the pan and pour the prepared teriyaki glaze over the mixture.
Stir-fry constantly for 1 to 2 minutes until the sauce thickens and coats the chicken and broccoli thoroughly.
Remove from heat, drizzle with sesame oil, and serve immediately over the warm brown rice garnished with sesame seeds.