The former Getafe star has struggled to secure regular first team action this term, making just four appearances for los Blancos, and has attracted the interest of both Malaga and Liverpool.
Kenny Dalglish's side have been linked with the player as they look to bolster their attacking threat following a disappointing campaign this season.
Nevertheless, the 24-year-old is committed to Madrid and is determined to fight for his chance under Jose Mourinho, according to The Best of You Sport Managers, the agency representing the Spaniard.
"Granero is going to continue with Real Madrid, 100 per cent. He played 65 minutes in the last match in the Bernabeu against Athletic Bilbao and maybe the coach is going to consider him more for the future," his management stated to The IBTimes UK Sport.
The versatile midfielder has a contract with Real Madrid until the summer of 2013.
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