Floods killed at least 45 people in Iran last week.
Zenit came from a goal down to beat Orenburg 3-1, maintaining a six-point lead in the Russian Premier League on Sunday.
The 24-year-old Azmoun, who joined Zenit from Rubin Kazan in February, also scored twice in Europa League win over Fenerbahce and bagged a winner in the Russian league against Yekaterinburg.
The win keeps Zenit six points clear of defending champions Lokomotiv Moscow, who edged city rivals Dynamo 1-0 on Saturday.
Krasnodar, who thrashed Anzhi Makhachkala 5-0, sit third, also on 38 points.