Pat the chicken breast dry with a paper towel and cut into bite-sized cubes.
Place the chicken in a bowl and toss with the arrowroot powder, sea salt, and black pepper until evenly coated.
Heat the sesame oil in a large skillet over medium-high heat and sear the chicken until golden brown and cooked through, then remove from the pan.
Add the broccoli florets to the same pan with a splash of water, cover with a lid, and steam for 3 minutes until bright green and crisp-tender.
In a small jar, whisk together the orange juice, coconut aminos, minced fresh ginger, minced garlic, and orange zest.
Return the chicken to the skillet with the broccoli and pour the orange sauce over the top, simmering for 2 minutes until the glaze is thick and glossy.