Pat the chicken breast dry and cut into bite-sized pieces, then toss in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
In a small glass jar, whisk together the coconut aminos, rice vinegar, honey, and grated fresh ginger to create the sauce.
Heat the avocado oil in a large skillet or wok over medium-high heat until shimmering.
Add the chicken to the skillet in a single layer and sear for 3-4 minutes per side until golden brown and cooked through, then transfer to a plate.
In the same skillet, add the sliced bell peppers and minced garlic, sautéing for 2-3 minutes until they are tender-crisp and fragrant.
Return the chicken to the skillet and pour the sauce over the mixture, tossing constantly for 1 minute until the glaze thickens and coats everything beautifully.
Remove from heat, drizzle with sesame oil, and serve immediately over a bed of warm, fluffy brown rice.