Cut the chicken breast into bite-sized cubes and season evenly with sea salt and black pepper.
Place the chicken in a bowl with arrowroot powder and toss until each piece is lightly and evenly coated.
In a small glass jar or bowl, whisk together the coconut aminos, rice vinegar, honey, and red pepper flakes to create the sauce.
Heat the avocado oil in a large non-stick skillet or wok over medium-high heat.
Add the chicken to the skillet in a single layer and sear until golden brown and cooked through, about 3-4 minutes per side, then remove chicken from the pan and set aside.
Lower the heat to medium and add the sesame oil, minced ginger, and minced garlic to the same pan, sautéing for 30 seconds until fragrant.
Add the broccoli florets to the pan with a tablespoon of water, then cover with a lid to steam for 2-3 minutes until tender-crisp.
Remove the lid, return the chicken to the pan, and pour the prepared sauce over the mixture.
Stir constantly for 1 minute until the sauce thickens into a glossy glaze that coats the chicken and broccoli.