However, Low believes that his side should have converted more of the opportunities against the European minnows.
"I know that it was our biggest victory ever against the Faroes, but I think we have to be criticised here because we had many chances, but not enough goals," he told reporters.
"In some situations we could do better. We sometimes don't do the little things correctly. Faroe Islands are not the benchmark against which we measure our other opponents in the group."
Germany continue the qualification process on Tuesday when they make the short trip to Austria.