Russian football chief Vitaly Mutko said he wanted to raise the issue with FIFA president Gianni Infantino around the draw.
"It is high time that FIFA becomes much more active in its promotion of the World Cup.
"FIFA should make more use of international football stars as advertisers and for instance show a video of the upcoming World Cup during half-time breaks of qualifying matches," Mutko said.
Mutko, who is also Russian sports minister and a member of the FIFA council, said he wanted to raise the issue with FIFA president Gianni Infantino around the draw.
"We expect many questions from him on the state of our World Cup preparations, but we also have many questions for him," Mutko said.
Infantino was due to arrive in Russia on Friday and meet with the nation’s president, Vladimir Putin, in Moscow before heading on to Kazan.