Markov's hockey journey began in Russia, where he developed his skills playing for the Dynamo Moscow organization. He was drafted by the Montreal Canadiens in the sixth round of the 1998 NHL Entry Draft, showcasing the team's keen eye for talent. Debuting in the NHL during the 2000–2001 season, Markov quickly established himself as a reliable defenseman known for his smooth skating, offensive prowess, and strong defensive play. He became a cornerstone of the Canadiens' blue line, earning a reputation as one of the league's top defensemen. Throughout his career, Markov was known for his ability to quarterback the power play, his precise passing, and his hockey IQ, which allowed him to excel in all situations. He represented Russia internationally, earning numerous accolades, including a gold medal at the IIHF World Championship. Off the ice, Markov was admired for his professionalism and leadership both in the locker room and in the community. He left a lasting legacy in Montreal and remains one of the most beloved players in Canadiens history.