He said Gotse, to show low also revealed to the world, he was better than Lionel Messi minutes before replacing the winner made result.
Highlights: Germany 1-0 Argentina
Victory was a fourth World Cup title, and first in 24 years.
Gotse, 22, said: "it is an incredible feeling. You goal and you don't really know what happened."
Gotze, who started the World Cup 2014 in Germany's starting lineup, was an 88th minute substitute for Miroslav Klose in the final on Sunday.
With seven minutes remaining, the FC Bayern München midfielder early home with his left foot after controlling Andre Schurrle left cross on his chest.
"He is the miracle, who can play in many positions, he is the decider, who come and make a difference," said low. "That's what he did."
Gotse, the Bavarians joined in a £31. 5m offer from Borussia Dortmund in last summer added: "it's indescribable. The dream has become a reality. It is sensational."
Germany World Cup Sieger - fits Lineker
Despite being on the losing side in the final, Messi was named as the best player of the tournament.
Coach Alejandro Sabella said "very worthy", add the award: "He played Cup to us to get a big world, where he started."
Germany counterpart low, said Meanwhile, victory was the result of a 10-year project in Brazil.
Germany were unconscious in the group phase of the EM on in 2004 without winning a game, but have reached three semi-finals and two finals in five major championships.
Before Sunday success had they won no tournament, since the tasting of the European Championships in England in 1996.
We have constant progress and believed in the project," said the 54-year-old low, the coach was in 2006, after reinforcement from his role as Assistant to Jürgen Klinsmann. "If any group deserves it, it's this team."
After a dismal Euro 2004 coach Rudi full resigns and Jürgen Klinsmann takes over.
Germany hosts of the 2006 World Cup and expectations to surpass, against Italy in the semifinals.
Lost the Euro 2008 final against Spain.
By Spain struck again in the semi-finals of the World Cup 2010.
Beaten in the semi-finals of the Euro 2012 by Italy.
Win the World Cup in Brazil beat Argentina 1-0 in the final.
Manuel Neuer, goalkeeper of the tournament was awarded celebrated the Golden glove Award for the best "Incredibles" momentarily lifted the trophy as the national team.
He said "the team is excellent, not only the players, but also the team behind the team has done,".
Captain Philipp Lahm added: "if we have the best individual players or what ever plays no role, you need to have the best team. In the end, you're as world champion - an incredible feeling. "
"It was a thrilling tournament and I think we have the right winner. Germany carried out consistently, and they have some great players. I think they are going to be for a long time."
Chelsea forward Schurrle added: "this is the most beautiful moment of my life. I was crying because I was so overcome. I couldn't stop it. It was always a dream, to become world champion."
Central Defender Mats Hummels was left to think the players gradually penalty shootout at Gotzes gate.
I am physically too exhausted in another world still quite trapped to euphoric cheer, but that will come," he said.
You can only world champion, if you act as a team. We wanted to make clear all all the time."
A record 34.65 m German watched the World Cup final after viewing figures published on Monday.
The match, broadcast on the ARD television, beat the previous record of 32,57 m, 7: 1-semi final win over Brazil was observed.
Germany's last World Cup Sieg was in 1990, when she again defeated Argentina 1-0 in the final
Three of the German squad - per Mertesacker and Mesut Ozil, Lukas Podolski - play Arsenal FC
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