The 31-year-old will leave Bayern Munich as a free agent at the end of the season, concluding an eight-year affiliation with the club.
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Several elite European clubs have been linked with a move for Goretzka, including Italian giants AC Milan.
According to Calciomercato, the midfielder would prefer a move to the Premier League as he weighs up the next step in his career.
Reports have suggested that Arsenal made a late move to sign Goretzka in the January transfer window, with Tottenham also linked.