In his youth, Drozdov was a swimmer, but was unsuccessful, so he took up curling at age 15. Drozdov won his first
national championship as a skip in 2009. He has represented Russia in six
European Curling Championships. In 2007, he placed 14th playing third for
Alexander Kirikov. In 2008, he placed 15th as the skip of the Russian team. In 2009, he placed 12th as the team's skip. Drozdov also skipped the Russian team at the
2009 World Junior Curling Championships, placing 7th. In 2010, he placed 9th as skip. In 2011 he played second for
Alexey Tselousov and the team had an 11th-place finish. At the
2012 European Curling Championships, Drozdov lead Russia to their best finish, 5th, qualifying for the World Championships for the first time. 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. He led the host nation to a 7th-place finish, with a 3-6 record. ==References==