Is there a shuttle?
Does it need to be prearranged? What goes does it operate?
Since the hotel is only 200 meters away from the airport, there is no shuttle offered.
There is also Public transportation (tram) available starting from the airport. City center is reachable within 25 minutes.
No Shuttle, though walk is literally within 2-3 minutes walking, so no issue!
I don't know if the hotel has a shuttle. As Sylwia said, it is a short and easy walk from the airport. The public buses have a stop at the airport as well, making it very easy to access public transportation.
Get an answer from Wyndham Stuttgart Airport Messe staff and past guests.