Slice the chicken breast into thin, bite-sized strips and season with sea salt and black pepper.
In a small bowl, whisk together the tamari, grated fresh ginger, minced garlic, and arrowroot powder to create the sauce.
Heat the avocado oil in a large wok or skillet over medium-high heat.
Add the chicken to the pan and sear until golden brown and cooked through, about 5-6 minutes, then remove and set aside.
Add the broccoli, carrots, bell peppers, cabbage, and snap peas to the same pan, stir-frying for 3-4 minutes until tender-crisp.
Return the chicken to the pan and pour the ginger-sesame sauce over the mixture.
Toss everything together for 1 minute until the sauce thickens and coats the ingredients evenly.
Drizzle with toasted sesame oil and serve immediately over the warm cooked brown rice.