City have also been drawn in the same group as German champions Borussia Dortmund and Dutch champions Ajax.
Manchester United have been handed a lucky draw as they will line up against Braga, Galatasaray and CFR Cluj.
Complete Champions League draw:
Paris St Germain
Zenit St Petersburg
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Summer 2016 is set to be a very exciting time for football fans, as this is when the long awaited Euro 2016 tournament kicks off.
Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.