Pat the chicken breast dry with a paper towel and cut into bite-sized cubes.
In a small bowl, toss the chicken cubes with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the avocado oil in a large skillet over medium-high heat until shimmering.
Add the chicken to the skillet and sear until golden brown and crispy on all sides, approximately 6 to 8 minutes.
While the chicken cooks, whisk together the coconut aminos, honey, minced garlic, and grated ginger in a small bowl to create the sauce.
Add the broccoli florets to the skillet along with a splash of water, then cover with a lid for 2 minutes to steam until vibrant green.
Remove the lid and pour the prepared sauce over the chicken and broccoli, stirring constantly until the glaze thickens and coats everything.
Drizzle with sesame oil and serve immediately over the warm, fluffy brown rice.