Toni Kroos got it with a sublime free kick after the Germans had been on the brink. A point would have left them with a slim chance of qualifying.
However, Low was always confident that the goal would come and he has hailed his side for their attitude.
"I told them to keep their calm in the next 45 minutes and to not start panicking and try to work long, high balls but to continue with short passes and go vertical to the wings and try to be incisive," Low said to reporters.
"Something that I did appreciate was that we didn't lose our nerve, we didn't panic after going down. We kept a level head, we said we needed to keep passing and tire the Swedes out and open up spaces. And in the second half, the pressure built up more and more.
"We missed a couple of good chances but I appreciated the spirit of the team, we never lost hope of winning the match. The goal in stoppage time, there was bit of luck involved but it was also about believing in ourselves and powering on."