Add about an inch of water to a large stockpot and bring it to a rapid boil.
Place the broccoli florets into your steamer basket and set over the stockpot with boiling water. Cover with a lid and steam 2-3 minutes, just until crisp tender, and bright green. Remove broccoli, then allow to fully drain.
Heat oil in a large stir fry skillet over medium high heat. Add chicken, and season with a good pinch of sea salt and pepper. Stir fry for about 2-3 minutes, until chicken begins to become golden brown on the sides.
Stir in garlic, ginger, scallions and chilies and stir fry for an additional 2 minutes, or just until chicken is cooked trough and nice and golden brown.
Add steamed broccoli into the skillet and pour in the coconut aminos, while gently stirring for just 1 minute more to get everything heated and nicely coated.
Sprinkle with sesame seeds and serve with cooked brown rice, quinoa or cauliflower rice.