Thinly slice the flank steak against the grain into bite-sized strips.
In a small bowl, whisk together the coconut aminos, honey, minced ginger, minced garlic, and toasted sesame oil.
In a separate small ramekin, mix the arrowroot powder with water to create a smooth slurry.
Heat a large skillet or wok over medium-high heat and lightly coat with a spray of avocado oil.
Add the beef strips in a single layer, seasoning with sea salt and black pepper, and sear until browned for about 2-3 minutes.
Remove the beef from the pan and set aside; add the broccoli florets to the same pan with a splash of water and cover for 2 minutes to steam.
Return the beef to the pan, then pour in the prepared sauce and the arrowroot slurry.
Toss everything together for 1-2 minutes until the sauce thickens into a glossy glaze that coats the beef and broccoli.
Transfer to a plate and garnish with sesame seeds before serving.