Wash the enoki mushrooms and cabbage thoroughly and cut them into bite-sized pieces.
Crack the eggs into a bowl and season with salt and pepper.
Heat olive oil in a pan and stir-fry the cabbage and enoki mushrooms first.
When the vegetables are slightly cooked, add the crab meat and stir-fry together.
Pour the beaten eggs over the ingredients and mix evenly.
Shape into a round omelette over low heat and cook both sides until golden brown.
Transfer the finished omelette to a plate and serve.