The German tactician is being criticised for failing to take Manchester City's in-form winger Leroy Sane to the World Cup.
Team manager Dan Palami said South Korea's massive upset over erstwhile World Cup champion Germany proves that anything can happen in football.
Critics of Russian President Vladimir Putin have accused him of using the World Cup to defy Western sanctions over the seizure of Crimea from Ukraine, though a number of national leaders and ministers have attended matches and met Putin or members of his government.
"It's a historic disgrace", Der Spiegel weekly said, decrying Germany's "weak game" against a plucky South Korea. Even worse, they were incapable of a strong reaction when on Wednesday they were told Sweden had taken the lead against Mexico in the group other match, meaning they needed to score a goal to qualify.
Top stat: The 57 shots recorded by Brazil so far is the most of any team remaining in the World Cup - Germany managed 72 despite being knocked out.
Sports website Kicker dubbed the match a "historic debacle" that called for a radical rethink.
After 32 nations arrived at the World Cup, 16 are left standing in Russian Federation.
Brazil's tournament got off to a rocky start when they were held 1-1 by Switzerland, but two stoppage-time goals against Costa Rica set them on their way to top spot.
"We were too slow, we deserved to lose", admitted Laura Kabinsky, who watched the match at Berlin's fan mile and donned a necklace in the black, red and gold of the German flag for the occasion.
Each time this opportunity presents itself, I am disappointed by the lack of interest of a people who claim to want to be better than they are at present.
The 29-year-old was reportedly standing up for his teammates and had to be restrained by one of his team's backroom staff members.
The powerful Mannschaft, the dominant force of world football recent years, crashed out miserably in the first round of the World Cup, and nobody saw it coming.