Ibrahimovic was forced to join the club because AC Milan needed money from his sale, but he seems to be disillusioned with life in Paris already.
English papers are reporting that the Swede could leave the club, with Wayne Rooney a possible target as a replacement.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.