How frequently do the shuttles run from Airport to Hotel? I can see that they run hourly from Hotel to Airport but cant find anything on the reverse.
Upon arrival to airport we ask that all guest gives us a call once the retrieve their luggage and once they come down to the ground level.. Once on ground level look for the signs that says courtesy van pickup. It usually would take us 15-20 minutes to get to the airport from the hotel.
The hotel's free shuttle is not a scheduled shuttle but it available on demand. It works best if you call when you land and request the shuttle. Pay shuttle service is also available but it would likely mean a longer wait, plus stops at other hotels before your hotel and of course it would not be free.
Get an answer from Hyatt Place Dallas/Arlington staff and past guests.