Born in
Baku,
Azerbaijan SSR (present-day Azerbaijan), Medvedev was a product of the
Qarabağ youth system. He primarily plays as a
right-back defender, but can also be utilized as a left-back or
centre-back defender. Medvedev has
spent his entire career at Qarabağ since becoming a professional player in 2006. He is the most capped player in the history of the club and 11th most capped player in the history of
Azerbaijan Premier League. He has won the Premier League ten times and
Azerbaijan Cup six times with his team. He also holds the record among Azerbaijani players for most caps in
UEFA competitions (126 games). Maksim retired at the end of 2023-24 season, playing his entire career for Qarabağ. ==International career==