But for any reason I can not find how to select it. I only can select if I want the fields at all but not that I need the name but it should not be displayed at the attendees list.
feuershow - this is not a setting in the event itself.
In the field: Check if you want the field to be included in the attendee's list. It will then be shown in the attendee's list automatically, but ONLY if that field is enabled for the event that you are looking at.