In a small bowl, whisk together the fresh orange juice, tamari, minced ginger, minced garlic, orange zest, and arrowroot powder until smooth to create the glaze.
Heat the toasted sesame oil in a large skillet or wok over medium-high heat.
Season the cubed chicken breast with sea salt and black pepper, then add it to the hot skillet.
Sauté the chicken until golden brown and cooked through, approximately 5 to 7 minutes, then remove the chicken from the pan and set aside.
Add the broccoli florets and snap peas to the same skillet with a tablespoon of water; cover and steam for 2 minutes until they are vibrant green and crisp-tender.
Return the cooked chicken to the skillet and pour the orange glaze mixture over the chicken and vegetables.
Stir the mixture constantly for 1 to 2 minutes until the sauce thickens into a glossy glaze that coats everything evenly.
Serve the orange chicken and vegetables immediately over the warm cooked brown rice.