The visitors were able to secure victory in Vienna, but their coach believes that they could have thrown away the match due to a string of errors at the back
The visitors seemed to be in control of the match when Mesut Ozil's penalty sent them into a two-goal lead just after half-time, but Zlatko Junuzovic soon capitalised on some sloppy play to pull one back.
And Germany were made to endure a nervy final half-hour, with Austria registering a number of excellent chances, only to squander them, allowing die Nationalmannschaft to snatch all three points.
"We made a lot of mistakes. Every one of Austria's chances was caused by one of our mistakes," he explained to ARD after the match.
"We allowed Austria to get back into the match during the final four minutes."
Philipp Lahm was one of the Germany players most culpable of sloppy play, and although he is happy to have come out on top, he has urged his team to lift their game.
"We have six points after two matches. This is a really good start. But we cannot be satisfied with this match. The opponents put us under pressure very early [on] and we could not handle it."
Manuel Neuer was another player who was happy with the result, but warned that a repeat performance would prove costly in the future.
"We can be happy with the result and the points, but not with the match. Austria's chances were because of the mistakes."
Finally, Thomas Muller admitted that the team had approached the game expecting a difficult encounter, but had failed to produce an adequate performance.
"It was the difficult match we were expecting. We did not put in a perfect showing, and there were a lot of mistakes."
Germany continue their qualifying campaign on October 12 when they travel to Republic of Ireland.