In a small bowl, whisk together the orange juice, orange zest, tamari, honey, minced garlic, grated ginger, and arrowroot starch until the mixture is smooth.
Season the diced chicken breast evenly with the 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 sauté for 5-6 minutes, stirring occasionally, until golden brown and cooked through.
Add the broccoli florets, sliced red bell pepper, and snap peas to the skillet, stir-frying for 3-4 minutes until the vegetables are tender-crisp.
Pour the prepared orange sauce over the chicken and vegetables, tossing constantly for 1-2 minutes until the glaze thickens and coats everything.
Serve the stir-fry immediately over the warmed, cooked brown rice.