The 22-year-old has caught eye of several European giants with his exploits on the pitch for the Bundesliga outfit and is being heavily linked with Serie A champions Juventus and Tottenham.
It has been claimed that the north London outfit have already held preliminary talks with Stuttgart over taking the player to England.
However, Gonzalez has ruled out the possibility of leaving the Mercedes Benz Arena in the ongoing transfer window as he stressed that he is keen on continuing playing at Stuttgart with all his heart.
The Argentine is enjoying life at the German club at present and has his heart set on chipping in on the pitch for his team, who have the quality to achieve a lot this season in his view.
“At the moment everything is fine”, Gonzalez told German daily the Stuttgarter Nachrichten.
“I feel at home.
“However, I can assure you that I am here with all my thoughts and with all my heart.
“This team can still achieve a lot.”
Despite his team strongly being linked with a move for Gonzalez, Spurs boss Jose Mourinho shot down transfer talks linking his club with the forward earlier this week.