Since I actually watched the video/show myself and have made the eggs several times for my fi I feel qualified to accurately answer this question.
First crack three eggs into a bowl.
At this point you have already heavily buttered and slightly melted down a stainless steel pot or pan, not non stick.
Drop the eggs into the buttery, salted, and peppered (to taste) mixture and let sit for a few seconds.
Take off the heat while leaving the burner on, and quickly whisk for a whisker.
Pop on the heat, whilst whisking.
Pop off the heat.
ADD MORE BUTTER. A LOT. LIKE 1 - 2 TABLESPOON.
Repeat until ‘ALMOST’ done. Not quite done.
Then when ALMOST done
Take completely off the heat and throw 1/3 cup creme fresh and fresh chives.
If you DONT have those because like me you live in the states, you can use heavy cream. Its not the exact same but also delicious, savory, rich, and amazing.
Like Gordon, you can choose to toast some rustic crusty bread to throw the perfect eggs on top of and also some small tomatoes on the vine on a pan with some fresh salt and olive oil as an ac·cou·tre·ment.