Pat the chicken breast dry and cut into 1-inch cubes.
In a medium bowl, toss the chicken with arrowroot powder, sea salt, and black pepper until every piece is lightly coated.
Heat the avocado oil in a large non-stick skillet over medium-high heat.
Add the chicken to the skillet in a single layer and cook for 5-6 minutes, turning occasionally, until golden brown and cooked through.
Remove the chicken from the pan and set it aside on a plate.
In the same skillet, add the sesame oil and broccoli florets with 2 tablespoons of water; cover and steam for 3 minutes until bright green.
While the broccoli steams, whisk together the orange juice, coconut aminos, minced garlic, and grated ginger in a small bowl.
Remove the lid from the skillet, return the chicken to the pan, and pour the orange sauce over the top.
Stir constantly for 1-2 minutes until the sauce thickens into a glossy glaze that coats the chicken and broccoli.
Garnish with fresh orange zest and serve immediately.