Cut the chicken breast into 1-inch bite-sized pieces and pat them thoroughly dry with a paper towel.
In a medium bowl, toss the chicken pieces with arrowroot powder, sea salt, and black pepper until every piece is evenly coated.
In a small jar or bowl, whisk together the fresh orange juice, orange zest, coconut aminos, rice vinegar, honey, minced garlic, and grated ginger to create the glaze.
Heat the avocado oil in a large skillet over medium-high heat until it begins to shimmer.
Place the chicken in 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; add the broccoli florets to the same pan with a splash of water, covering with a lid for 2 minutes to steam.
Remove the lid, pour the orange glaze mixture over the broccoli, and simmer for 1 minute until the sauce begins to bubble and thicken.
Return the crispy chicken to the skillet, tossing quickly to coat every piece in the glossy, thickened orange glaze.
Garnish the dish with sesame seeds and serve immediately while the chicken is at its peak crunch.