Teenager's agent Volker Struth insisted to Goal.com that his client will remain with the Bundesliga side for the 'next two years' as Gunners miss out on coveted German
The Londoners have been one of a number of leading European clubs whose interest in the 19-year-old has received short shrift from the Bundesliga champions during the transfer window.
"Mario will stay at Dortmund, for sure, the next two years. There is no chance of him going to another club this window," Goetze's agent Volker Struth told Goal.com.
He added, "This is because he is so young and it is too early in his career for him. The club, the player and his family, we are all of one mind that it is better for him to stay there because he is happy at Dortmund."
Struth would not comment on the extent of Arsenal's interest but it is believed its contact with the Bundesliga club did not materialize in a formal offer for a player who is valued at between 28-34 million euros.
Manchester United has also been strongly linked with the darling of German football, who has already made his mark on the national team by becoming the country's joint-youngest goalscorer earlier this month.
"When there is a big club who want Mario, Dortmund has to tell the club that there is no chance," said Struth. "In any case, they will not sell him. In two or three years, who knows? I don't know what will happen then."
Goetze's current contract with the club he first joined as an eight-year-old runs until 2014.