Another inquest was beginning after the 2-1 Euro 2012 defeat by Italy, with 1990 World Cup-winning coach Franz Beckenbauer describing the Nationalmannschaft's performance as "lifeless".
It was the third time in four major tournaments that Germany had crashed out at the semi-final stage.
On the other occasion, Germany were beaten by Spain at the last European Championship.
It is a sorry tale of woe for a country used to collecting major prizes and means they have still not lifted a trophy since Euro 96.
However, Low is using Spain as the example of patience now being required.
"It's hard to win a title," he said.
"Spain waited years. It's a learning process for us, playing at this top level with these strong teams. You can't be impatient."
Low is adamant his side have improved since their third-place finish in the 2010 World Cup and can look back with pride on their achievements at this championship, where they set a new record of 15 consecutive victories in competitive games.
"The team has really moved forward in the last two years," he said.
"We have caught up with lots of nations who were beyond us and we're at the same level as the really top teams.
"We didn't make it (against Italy), but there'll be other chances in the future."
Low conceded Germany were the architects of their own downfall last night, with poor defending leading to both Italy goals.
"One moment where you don't pay attention can cost you the game," he said.
"We had three players on (Antonio) Cassano for that first goal, but he suddenly turns around and crosses. We should have stopped it.
"The second goal came after a long pass from a set-piece of our own.
"We didn't do well defensively twice, didn't pay attention and made mistakes."
Now Germany must lick their wounds and respond during a World Cup qualifying group including fellow Euro 2012 contenders Sweden and the Republic of Ireland, from which only one side will definitely book their place in the finals in Brazil.
"Brazil is a while away yet," he said.
"We'll go into a qualification campaign, but we've got a few new young players in the squad who have gained experience here, like Marco Reus.
"I don't think we'll change things around. We still have a very young team."