Everywhere active vacations involve having food delivered to the hotel, and Kitzbühel is no exception. It's always nice to relax and not have to think about finding an appropriate restaurant. You can get a delicious pizza at the restaurants Barrique, Il Gusto. Many restaurants in Kitzbühel offer food delivery, including pizza, so check locally.
Restaurants Lois Stern (Josef-Pirchl-Strasse 3, 6370 Kitzbühel) and Shang hai (Kirchplatz 5, Kitzbühel) offer oriental food, so if you're interested in Chinese and Thai food delivery in Kitzbühel, you can go here. Many restaurants have menus. But it will be difficult to find sushi delivery here, there are not so many restaurants with oriental cuisine in Kitzbühel. Don't worry though, you won't go hungry.