"I think we have some players who have a big future," Schweinsteiger said.
"We believe we are now the No 1 team in the world. We will go to France and try and do it again.
"We have the experience now from what we have done here and that will help us. I think what happened before in South Africa at the last World Cup helped, too."
The midfielder, 29, is one of the older members of Joachim Loew's squad and also experienced the disappointments of reaching the World Cup semifinals in 2006 and 2010 without going further and losing in the semifinals of Euro 2012 and the final of Euro 2008.
"Since the tournament was held in Germany in 2006, we always go as far as the semifinal, finish third-place or reach the final in 2008 but lose," Schweinsteiger said.
"But now we have taken one step more and that is the most important thing for the whole of this squad."
The victory was a reward for the re-building that the German Football Association instituted after the failure of Euro 2000.
"We have quality players, but the most important thing is that we have the tradition in our game," Schweinsteiger said.
"We have the mentality of the Germans. We can run, we can make pressure, we can defend - and the mix between this is the solution.
"It's not so easy because we have a young team. But we have some players like Philipp Lahm, Mesut Ozil and Per Mertesacker who have the experience.
"This mix makes a big difference.
"You never know what happens in the future. But we are fit, we are hungry and we have some good players who are 25 years of age and around that age."
One of those is defender Mats Hummels, 25, who was part of the German under-21 side that defeated England 4-0 in the final of the 2009 European Championship.
"We knew that this was a special team in 2009," Hummels said of the squad that also included Ozil, Manuel Neuer, Sami Khedira, Jerome Boateng and Benedikt Hoewedes who were all first-choice in Brazil.
"There are something like 10 players in the World Cup who played in that tournament."
The centre-half praised finalists Argentina as having a "strong defence and technically very good" but was also dismissive.
"We saw videos of them, which showed us that they have eight players in defence, plus the goalkeeper, plus Messi and Higuain." Hummels insisted that he was staying at Borussia Dortmund despite interest from Manchester United.
"There's nothing to argue about me staying or not. There's nothing to discuss."