Career
Gnakpa began his career with Aubagne F.C. and joined than in summer 2004 to the reserve of AJ Auxerre. He left after five years AJ Auxerre and signed for AD Ceuta in summer 2009. In July 2013 he signed for KRC Mechelen in the 3rd division (3A) of the Belgian football league.
Modeste is the cousin of Claude Gnakpa, who plays for Luton Town in England.