Toni Kroos acknowledges Germany are lacking experience and could not be considered Euro 2020 contenders as things stand, although he is not writing off their chances.
"We are still lacking a little bit in experience, but certain procedures are working better and better," he said, as reported by UEFA.com.
"We will know where we stand shortly before the tournament. Currently, I would not count us amongst the top favourites. But that doesn't always mean anything."
Like Kroos and Neuer, Ginter was central to the victory, having a hand in the second and third goals after scoring the opener at Borussia-Park, the home of club side Borussia Monchengladbach.
The smart flick was Ginter's first strike for his country, prompting comment from Neuer that it was "about time".
"His first Germany goal tonight? Well, after 29 games, it is about time," Neuer said. "No, he did very well to score in style."
Ginter added: "Scoring a goal like this as a central defender - that goes to show that nothing is impossible. Manu is right - after 29 games, it was about time.
"Scoring here in Gladbach is the icing on the cake."