Germany is out of the World Cup, the fourth defending champion in the last five tournaments to be eliminated during the group stages.
"It's too soon for me to answer, it will take a few hours to see things clearly, the disappointment is very deep in me", said 58-year Loew when asked if he would resign.
"Honestly, I had no expectations at all, but the players did well as they overcame crisis after crisis to seal the win", said Lee Shin-young, a 39-year-old office worker in Yongin, near Seoul, who watched from home.
The Taeguk Warriors weren't in their best shape against Sweden or Mexico, and many expected them to fold over when they faced Germany in the crunch Group F final game. They could also have gone through with a draw, if the Sweden-Mexico game had also ended in a draw.
As CBS Sports pointed out in a tweet, this is the first time Germany has been eliminated in the first round of a World Cup since 1938.
Ozil was heavily criticised for his performances at the World Cup.
"We've done a fantastic job today with this match", he said in Yekaterinburg, ahead of a last-16 clash against either Brazil, Switzerland or Serbia.
Timo Werner went close shortly after that following excellent interplay between Mesut Ozil and Marco Reus, as Germany started to push forward with greater goal. All the Germans needed to do was to score one goal against the South Koreans.
The Germans' fate was sealed by two goals from Son Heung-min and Kim Young-gwon in added time.
After a goalless first half, the two sides went into the second half with more active spirits.
South Korea scored both of their goals during stoppage time, the first of which was initially disallowed for offside but that decision was overturned after a video review.
Mexico meanwhile thrilled in victories over Germany and South Korea but were overwhelmed by Sweden, who did well to pick themselves up after the demoralizing reverse to Low's side.
"It is a really, really bitter evening for us", admitted Hummels, who squandered a late chance when he headed over.
The Tottenham forward also lashed a volley wide when it was goalless, before being booked in the second half as referee Mark Geiger thought he had dived in an attempt to win a penalty.
"We need to analyse this and it has to be said very clearly that we just do not deserve it".