Pat the chicken breast dry with a paper towel, season with sea salt and black pepper, and toss with arrowroot powder until evenly coated.
Heat avocado oil in a large skillet or wok over medium-high heat.
Add the chicken to the skillet and sear until golden brown and cooked through, approximately 5-6 minutes, then remove and set aside.
Add the broccoli florets and sliced red bell pepper to the same skillet, stir-frying for 3-4 minutes until they are bright and tender-crisp.
In a small bowl, whisk together the fresh orange juice, tamari, grated ginger, and minced garlic to create the glaze.
Return the cooked chicken to the skillet and pour the orange glaze over the chicken and vegetables.
Simmer for 1-2 minutes, stirring constantly, until the sauce thickens and becomes glossy.
Remove from heat, drizzle with toasted sesame oil, and serve immediately over the warm cooked brown rice.