In a small bowl, whisk together the coconut aminos, honey, grated ginger, minced garlic, and arrowroot powder until smooth.
Dice the chicken breast into bite-sized pieces and season evenly with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet and sauté for 5-6 minutes until golden brown and cooked through.
Add the broccoli florets to the pan with a tablespoon of water, then cover with a lid for 2 minutes to steam them until vibrant and tender-crisp.
Remove the lid and pour the prepared sauce over the chicken and broccoli.
Toss everything together for 1-2 minutes until the sauce thickens into a glossy glaze that coats every piece.
Serve the stir-fry immediately over a portion of warm, cooked brown rice.