Even so, they finished second in the group and will have to face Brazil next, making them odds-on to go out in the round of 16 for an incredible seventh time in a row.
"We needed to throw things forward and it opened things up in defence".
They lost their opening game 1-0 to Mexico and needed Toni Kroos's dramatic late free-kick to beat Sweden 2-1. To add to the statistical brickbats, this is now the first World Cup since 1966 when England will have progressed further than the Germans.
Although Germany fell well short in its World Cup title defense this summer in Russian Federation, it did make history of a sort.
Goalkeeper Manuel Neuer, who was at fault for Korea's second goal after coming out of his goal and playing in midfield - where he lost possession - insists he has no plans to retire from worldwide football.
"It's all great for the history books in Croatia but if we don't win against Denmark, when someone asks you what you did, what can you say?"
"We did not deserve to be winning the title once again", Loew said. "The players, the entire team, the technical officials, we wanted to do everything to give our players the chance to succeed on the pitch". I can not answer why that happened.
"I thought we could use that as a reverse strategy and that has really hit the nail on the head". We screwed up, (and) we screwed up together'.
After the game, coach Joachim Low refused to lay blame exclusively on Ozil.
On the quarter-hour mark, Mexico, who had the overwhelming support inside the stadium, should have taken the lead when Carlos Vela found himself in space on the edge of the box.
It's extremely hard, at times impossible, for a coach to know the exact moment when it's right to leave. It will take me some hours now to come to terms with it. "The disappointment is deep inside me".