Cut the chicken breast into bite-sized pieces and toss in a bowl with arrowroot powder, sea salt, and black pepper until evenly coated.
In a small mixing bowl, whisk together the fresh orange juice, orange zest, coconut aminos, minced ginger, and minced garlic to create the glaze.
Heat the avocado oil in a large skillet over medium-high heat until shimmering.
Add the chicken pieces to the skillet in a single layer and cook for 5-6 minutes, turning occasionally, until the exterior is golden brown and crispy.
Remove the chicken from the pan and set aside on a plate; add the broccoli florets to the same skillet with a splash of water.
Cover the skillet with a lid and steam the broccoli for 3 minutes until vibrant green and crisp-tender.
Remove the lid, pour the orange glaze into the skillet with the broccoli, and simmer for 1-2 minutes until the sauce thickens slightly.
Return the cooked chicken to the skillet and toss everything together until the chicken and broccoli are thoroughly coated in the glossy sauce.
Garnish with sesame seeds and serve immediately.