What is a free kick called in ice hockey?
It is called a penalty shot.
Well, by field hockey I think you mean hockey games that are done on the ground like field hockey, street hockey,ect. It is called ice hockey. *Field hockey and ice hockey are completely different rulebases. As the first answer pretty much describes, it is simply called "field hockey on ice", like it is called "field hockey on grass", "on turf", "on concrete", etc.