Fury of Dracula 3rd ed. - Bats Token and Defeated Hunter
The rules say:


  The bats token functions as a reminder that Dracula can move
  that hunter to an adjacent city during that hunter’s next action.


When the hunter is defeated and moved to another city, it isn't of the hunters own volition, but it is a must and doesn't cost the hunter an action. 

then:


  For the purposes of game rules and effects, if a hunter is in
  a hospital space, he is adjacent to and not in the location
  attached to that hospital.
  
  While on a hospital space, the only actions a hunter may
  perform are a modified version of either the supply or move
  action, as follows:
  » Supply: The hunter may perform a supply action to draw
  one item card. He always draws one item card but cannot
  draw an event card.
  » Move: The hunter may move from the hospital to the city
  attached to that hospital.


So when the hunter wants to do any action in the hospital (eg supply or move) Dracula must move him to an adjacent city, which is, in this instance, the city attached to the hospital.