Loew, who won the 2017 Fifa Confederations Cup in Russian Federation with a second-string German side, said Germany has many talented players who will come through the system to help the deposed world champions return stronger.
"It was only after the match that we found out the other score (and that Korea didn't qualify), of course we were disappointed and that's why some of us cried".
Germany lost to South Korea 2-0, and got eliminated during the group stages for the first time since 1938.
Mexican football fans partied at the Korean embassy in Mexico City on Wednesday (Thursday NZ time), personally thanking the Korean ambassador for his nation's shock 2-0 Fifa World Cup victory over Germany.
Germany have failed to win two matches in a four-team group stage for the first time in 32 years, since this format was introduced to the World Cup, and only for the fourth time overall.
Germany's Mario Gomez, center, and Germany's Mats Hummels, right, hold their heads after failing to score during the group F match between South Korea and Germany, at the 2018 soccer World Cup in the Kazan Arena in Kazan, Russia, Wednesday, June 27, 2018. You'd imagine many Germans will be needing a holiday after the horror of seeing their team humbled by already eliminated South Korea.
South Korea added one more as time expired, Son tapping in after Manuel Neuer had gone up the pitch as Germany searched for a goal. "The players had been heavily criticized and it would have been painful to live through all that".
"We beat the world champions from the last World Cup and now I'm looking forward to the next World Cup". We might have just witnessed the moment of the tournament, however.
The scene in Kazan is set - a must-win match for a team of established stars, World Cup veterans and reigning champions against a "minnow" side with no hope of advancing to the Last 16.
The Arsenal playmaker was employed in a relatively deep role and he simply wasn't able to cut through South Korea's resolute defence. Sweden took first place and Mexico finished in second.
"We had a good training camp", Low added.
In the event, South Korea's late goals handed them a famous win and confirmed passage to the knockout stages for Mexico and Sweden, sending Germany crashing out.
The 2014 world champions are out of the World Cup in Russian Federation.
Prime Minister Lee Nak-yeon joined them, tweeting on Thursday: "Reality beat our imagination today" and praising the South Korean footballers.
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