Wash and drain the crayfish. Heat the olive oil in the pan and let the chopped chilli pepper and garlic become slightly crispy.
Cut the iceberg lettuce into strips and distribute on 2 plates. Put the crayfish in the pan and sauté for about 2 minutes. If you like, you can add some fresh thyme. Then put on the iceberg lettuce with the olive oil and season with salt and pepper from the mill.
Finally, add a little balsamic vinegar and serve immediately.