Pat the chicken breast dry with a paper towel and cut into 1-inch uniform cubes.
In a medium bowl, toss the chicken cubes with arrowroot powder, sea salt, and black pepper until each piece is lightly and evenly coated.
Prepare the glaze by whisking together the fresh orange juice, coconut aminos, minced fresh ginger, and minced garlic in a small glass bowl.
Heat the toasted sesame oil in a large non-stick skillet or wok over medium-high heat until shimmering.
Add the chicken to the hot skillet in a single layer and sear for 5-6 minutes, turning occasionally, until the exterior is golden brown and the meat is cooked through.
Transfer the cooked chicken to a plate and set it aside.
Add the broccoli florets, sliced red bell pepper, and snap peas to the same skillet, adding a tablespoon of water to help steam-sauté the vegetables for 3-4 minutes until tender-crisp.
Return the chicken to the skillet and pour the orange glaze mixture over the chicken and vegetables.
Stir the mixture constantly for 1-2 minutes over medium heat until the sauce bubbles and thickens into a glossy glaze.
Serve the stir-fry immediately over a bed of warm cooked brown rice.