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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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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