In a small bowl, whisk together the orange juice, orange zest, coconut aminos, grated ginger, minced garlic, and arrowroot powder to create the glaze.
Season the diced chicken breast with sea salt and black pepper.
Heat the sesame oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and cook until golden brown and cooked through, approximately 5 to 7 minutes.
Remove the chicken from the pan and set aside; add the broccoli, bell peppers, and snap peas to the same pan, sautéing until tender-crisp.
Return the chicken to the pan and pour the orange glaze over the mixture, stirring constantly until the sauce thickens and coats the ingredients.
Serve the orange chicken and vegetables over the warm, cooked brown rice.