The visitors inflicted only a second league loss of the season on Bayern thanks to a Raffael brace at the Allianz Arena.
Neuer, who was at fault for the first goal, told the club’s website that Gladbach were the better side but is not too concerned by the defeat.
“Gladbach were very good and defended excellently. We didn???t create any genuine chances,” he said. “That wasn???t good enough. Obviously we wanted to do much better and we???ve missed a chance because Wolfsburg dropped points today.
“But it won???t darken our mood. We know what we???re aiming for this season. We???ll look to the future and we???re optimistic.???
The reigning champions lost Arjen Robben to a torn abdominal muscle midway through the first half and were also without Franck Ribery, who has been struggling with an ankle injury recently.
Bayern head coach Pep ??Guardiola admitted the defeat was hard to take and that his side struggled without the pair.
“We had problems when attacking,” he commented. “We started well and controlled the ball well on the counter attack. We have tried everything, but without Franck and Arjen it was hard.
“In the second half we played with too much heart and too little head.”
But the coach did not lay any blame on Neuer for the two goals and believes Bayern will return to winning ways following the international break when they face Borussia Dortmund.
“Gladbach did it very well. We did not lose because of Manu, but because we had problems when attacking,” he added.
“It’s the Bundesliga, people think it is always easy. But I know how hard it is. We need to analyse the game and – after the international break – win our games again.”