Bayern Munich's Robert Lewandowski grabbed the earliest hat-trick in Champions League history with three goals by the 23rd minute as the Germans steamrollered Salzburg 7-1 on Tuesday to book a place in the quarter-finals with an 8-2 aggregate score.
"This was definitely a statement from us, and it gives us hope that there is more like this to come," Bayern captain Manuel Neuer told Amazon Prime after his side reached the last eight for a record 20th time.
Bayern, who have been unpredictable in the Bundesliga this year, have now scored seven or more goals in a Champions League game for a record seventh time.
"We started well and presented ourselves differently from recent weeks. That gives you hope that this will go on. You could see from the start that we had a good attitude," said Neuer.
The keeper also set a record with his 104th appearance in the competition, overtaking current club CEO Oliver Kahn as the Bayern keeper with the most games in the Champions League.
"The game was of huge importance for us," Mueller said. "Had we been eliminated today we would have faced three sad months and people would be rightly questioning things."
"Today it was an opponent on a different level," Salzburg defender Rasmus Kristensen said.
"We had some chances but if you don't make them count it's difficult. It had nothing to do with attitude, focus or the match plan. They simply were better in all aspects - that's it."
Salzburg had two golden chances early in the game and came agonisingly close to an equaliser in the 15th minute when Neuer, back from a knee injury, pulled off the save of the game to tip Nicolas Seiwald's missile over the bar.
But even though Salzburg had not conceded more than two goals in a competitive match this season, they could do nothing to stop in-form Lewandowski.