The playmaker has made 51 league appearances - netting 11 times - since joining the Madridistas in 2007.
However, following the expensive acquisitions of Kaka, Cristiano Ronaldo, Karim Benzema, Alvaro Arbeloa and Xabi Alonso, Real are open to offers for Dutch quintet Sneijder, Rafael van der Vaart, Arjen Robben, Roysten Drenthe and Ruud van Nistelrooy, while Klaas-Jan Huntelaar has already joined AC Milan.
Sneijder - who has been capped 53 times by his country - has been linked with moves to Chelsea, Arsenal, Tottenham Hotspur, Aston Villa and Inter Milan.
And it is the latter who are reportedly in pole position to snare him, with the Nerazzurri believed to be close to agreeing a €7 million deal to take Sneijder on loan for the season, with the option to make the move permanent for an added €13 million next summer.
But the Dutchman, who took part in the Netherlands' 2-2 draw with England on Wednesday, has revealed he has no intention to leave the Spanish capital.
"I want to fight for my place at Real Madrid despite there being a lot of rivalry," he told ATP.
"On Thursday I will be in Madrid again, so I will find out more then.
"I don't want to leave Real. I know the transfer market is open for another two weeks but I am still thinking the same about things."
NEWS: Sneijder solution close to completion
NEWS: Inter in talks to sign Sneijder
NEWS: Villa reveal Sneijder appeal
NEWS: Sneijder switch to San Siro ruled out
NEWS: Sneijder eyes Real Madrid move
NEWS: Van der Vaart set for switch
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