Put the frozen broccoli in a small microwave-safe bowl and cover with a plate. Microwave on high for 1 minute. Stir. If still frozen solid, microwave another 30 seconds to 1 minute until it is mostly thawed and a little warm in most places.
Remove the broccoli from the bowl (leaving the water from the broccoli in the bowl) and chop the broccoli into little bits.
Crack the egg(s) into the bowl with the broccoli water and whisk until smooth. Sprinkle with seasoning and freshly ground black pepper.
Heat a nonstick frying pan over medium heat and rub lightly with butter. When the pan is hot, pour the egg into the pan, then sprinkle with broccoli (and cheese, if you’re using cheese). Let the egg cook for a couple minutes until it is starting to set on the bottom, then begin stirring, loosening the egg from the bottom of the pan.
When the egg is just cooked but still moist, pour your lovely green scrambled eggs onto a plate. Taste and sprinkle with additional seasonings if needed. Enjoy them while they’re hot!
