The former Chelsea player filed his application for elections slated to be held later this year.
The 41-year-old will face competition from a former playing colleague Bonaventure Kalou, who was in October 2018 elected mayor of the municipality of Vavoua.
Incumbent President Augustin Sidy Diallo is also a candidate. He has been in the role since 2011.
Late last year Didier Drogba has announced his retirement as a player.
The former captain of the national team began his career at French side Le Mans in 1998, but did not play top-tier football until he was 23 when he was signed by Guingamp in 2002.
He moved to Olympique de Marseille in 2003 and a year later was signed by Chelsea where he became the attacking focal point of the team under Jose Mourinho and helped the club win their first top flight English title in 50 years.
During his career, Drogba scored 164 goals in 381 appearances in two spells at Stamford Bridge, helping them win the Premier League four times and the Champions League in 2012.
He also won four FA Cups and three League Cup victories during his time in west London.
Drogba had most recently been playing in the USA with Phoenix Rising, the second-tier club at which he is a co-owner.