Chop the chicken breast into bite-sized pieces and season with sea salt and black pepper.
In a small bowl, whisk together the orange juice, orange zest, tamari, minced ginger, minced garlic, and arrowroot powder to create the glaze.
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 6 minutes.
Remove the chicken from the pan and set aside.
Add the broccoli, red bell pepper, and sugar snap peas to the same skillet, sautéing for 3 to 4 minutes until tender-crisp.
Return the chicken to the skillet and pour the orange glaze over the chicken and vegetables.
Toss everything constantly for 1 minute until the sauce thickens and coats the ingredients evenly.
Serve the stir-fry immediately over the warm cooked brown rice.