Evian have lost three of their four matches so far this season, only drawing one against Lyon.
Correa is to be replaced by Sports Director Pascal Dupraz, who had coached the team between 2000 and 2009.
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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.