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 jar or bowl, whisk together the orange juice, coconut aminos, honey, minced ginger, and minced garlic to create the glaze.
Heat the avocado oil in a large non-stick skillet over medium-high heat and sear the chicken until golden brown and cooked through, about 6-8 minutes.
Remove the chicken from the pan and set aside; add the broccoli florets to the same pan with a splash of water and cover to steam for 3 minutes.
Remove the lid, return the chicken to the pan, and pour the orange sauce over the mixture.
Toss everything together for 1-2 minutes until the sauce thickens into a glossy glaze that coats the chicken and broccoli.
Remove from heat, drizzle with sesame oil, and garnish with sesame seeds before serving.