It's the German National Team specifically talking about the men's football (soccer for those Americans) team. The German National Team is Die Mannschaft in German and is supervised by the Deutscher Fußball-Bund (German Football Association). This year was Germany's fourth win from previous wins in 1954, 1974, 1990, and now 2014.
When can I watch them play?
Actually, you're in luck. For the National Team they are in the Euro Qualifying for the Euro2016 that's a championship for all European nations. There is also the clubs where you can watch them play in like this upcoming Champions League. But if you want just German clubs so you can totally see your favorite players, the Bundesliga has kicked off.
Things to check out...
Do make sure to find their Twitters even though it may be in German, the pictures are cute. They also do have Facebooks and I've seen one translate the Tweets into English on there. Their two most famous clubs are Bayern München and Borussia Dortmund who have German NT players.