Cut the chicken breast into bite-sized pieces and toss them in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
Heat avocado oil in a large skillet over medium-high heat. Add the chicken and sear until golden brown and cooked through, about 6-8 minutes.
Remove the chicken from the skillet and set aside. In the same pan, add the broccoli florets and a splash of water, cover, and steam for 3-4 minutes until tender-crisp.
While the broccoli cooks, whisk together the orange juice, coconut aminos, honey, minced ginger, and minced garlic in a small bowl.
Return the chicken to the skillet with the broccoli. Pour the orange sauce over the mixture and simmer for 1-2 minutes until the glaze is thick and glossy.
Remove from heat, drizzle with sesame oil, and sprinkle with red pepper flakes before serving.