Kuntz wants to see similar success for the current crop, telling reporters: "We talked about the fact that every second year a European Championship starts, and when it does, you look at the last success, which was 2009.
"People look at what the players are doing today - eight or nine are big players now, but I told them that, 'if you win, people will remember you'.
"I think the semi-final penalty shootout [win over England] was seen by nearly 10 million people in Germany, so my players' reputation at home is very high. But today is just today. If we had been sent home by England, I wouldn't have been a better or worse coach."
Germany are now the joint-third most successful side in the tournament's history, winning it the same number of times as England, Netherlands and the Soviet Union.