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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
Who of Europe’s top strikers will move to England this summer?