Three-time world champion and Olympic bronze medalist Kim Tae-hun of South Korea took home the men's under 58kg crown after opponent Ramnarong Sawekwiharee of Thailand withdrew before the final took place.
Kazemi and Jesus Tortosa Cabrera from Spain were the recipients of the bronze medals.
All three winners will automatically qualify for the newly established World Taekwondo Grand Slam in Wuxi in China.
The event in the Russian capital - the first Grand Prix competition of the season - will conclude on Sunday.
Iran has participated in the competition with three taekwondo players.