A French omelette, or omelet, as we Americans call it, is 10% ingredients, and 90% technique. The good news is, the technique is really simple. The bad news is, it takes a little practice to perfect. But, after making a few hundred of these, you could probably do this half asleep, which is how many brunch cooks actually do it. Just be sure to start the folding as soon as the surface is wet, but not runny.
How to Make Soft, Buttery French-Style Omelets