The Brazilian has failed to make much of an impression in the Spanish capital since his £56 million move from AC Milan in June 2009 in what was then a world transfer record.
It had been hoped that the appointment of his former boss at Milan, Carlo Ancelotti at the Bernabeu may have been able to inspire him to rekindle his old form, but the signing of Isco and the imminent arrival of Gareth Bale has instead seen him slip further down the pecking order.
“I want to leave,” he told reporters. “I think it is the right moment for me and for the club to leave in an amicable fashion.”
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