The draw took place in Istanbul.
According to the results of the draw, the Russian team will play in Group H with English Chelsea, Italian Juventus and Swedish Malmo.
Zenit is the reigning champion of Russia.
In addition, after the relegation of Moscow "Spartak" in the qualifying for the Champions League, the blue-white-blue remained the only Russian team in the tournament.
Earlier it was reported that ex-Zenit footballer Andrei Arshavin due to illness will miss the Champions League draw ceremony.