The Guardian reports that Moyes is keen to bring in the 27-year-old on loan in January.
Hoarou is out of favour at PSG, but the club’s new manager Carlo Ancelotti is unlikely to let him leave the club on loan.
Hoarau has dropped down the pecking order at the French side over the past 12 months.
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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.