Heat a 12-14" skillet over a high flame for a minute. Have a lid that fits the pan set aside. Add the neutral oil and swirl to spread around the pan.
Add the broccoli and toss to coat. Cook tossing or stirring for another minute. If you like your broccoli more firm, go to step
If you prefer you broccoli more cooked and soft: hold up the pan lid like a shield and add 2 Tbsps water to the pan. The oil will splatter when the water hits it. Cover the pan, leaving just a crack open and steam the broccoli until most of the water is evaporated.
Add the soy sauce or coconut aminos, sweetener and salt, if using, and toss. Pull the pan off the flame and grate the garlic clove directly into the pan using a microplane. Tap the microplane on the pan to release the garlic. Grate the ginger for 30 seconds directly over the pan and again tap the microplane to release the ginger.
Add the sesame oil, put the pan back over a medium flame and stir a few seconds to combine.