[1] In his youth, Drozdov was a swimmer, but was unsuccessful, so he took up curling at age 15.

Drozdov also skipped the Russian team at the 2009 World Junior Curling Championships, placing 7th.

Drozdov's lone international medal was a bronze at the 2006 European Mixed Curling Championship.

Drozdov played in his first World Curling Championships for Russia at the 2013 Ford World Men's Curling Championship, where he led Russia to a 10th-place finish.

Drozdov was named skip of the Russian team at the 2014 Winter Olympics.