Hirving Lozano scored the only goal in Moscow to stun a strangely subdued Germany and consign them to their first opening-match defeat at a World Cup since 1982.
He said: "We didn't play well, we weren't able to show our way of playing the way we normally do.
"It happens, there are situations like this in tournaments and you have to accept it.
"But we can't break everything apart and do something different. We have a clear structure, there is no panic simply because we lost a match.
"We have two games left and ample opportunity to correct this result."
Recent history has not been kind to World Cup winners with three of the last four triumphant sides failing to make it past the group stage at the subsequent tournament.
When this was pointed out to Low, he said: "I have no idea why that's the case but we will not suffer that fate, we will qualify for the next round.
"It is disappointing to have lost the first match, it's a situation we are not used to at all. In the many tournaments before we always won the first match but we have to accept this situation.
"There will always be obstacles to overcome and in the next match we have to be much better.
"Everyone is very unhappy but tomorrow we have to look forward. Our team has experience of dealing with losses, the next match will be decisive [against Sweden in Sochi]. We have to win it."
Low refuted suggestions he should have stuck by the younger crop of players he brought to Russia 12 months ago to win the Confederations Cup in impressive fashion, including a 4-1 thrashing of Mexico in the semi-finals.
"I think we have a relatively young team here, the average age is not too high, we are well balanced," he said.
"We have the backbone of our team, players who have a lot of experience even though it wasn't visible today.
"Last year was a different situation, we cannot compare. Mexico were not as good as they were today either, they put in an excellent performance.
"You shouldn't compare apples with pears."
Sunday's setback raises the possibility of a last-16 clash with Brazil, but Low refused to look that far ahead.
"I am not thinking of that and I certainly don't care who the opponent will be," he said.
"We have to win against Sweden, now we are under pressure.
"The first knockout round? I don't think about that now. We need to focus on the next game."