Mali to gamble on fitness of Traore
Mali had been granted permission to bring in a replacement for the Metz midfielder, who has a calf injury and was believed to be unavailable to play for at least 10 days.
But officials on Tuesday said coach Alain Giresse had decided to risk a quicker recovery and not replace him after progress in his treatment.
Teams at the Nations Cup are allowed to make injury enforced changes to their 23-man squad before they play their first game.
Injury-hit Mali have already been forced into two changes since the January 11 deadline for naming squads.
Mali open their campaign on Tuesday with a Group D match against Guinea in Franceville, one of the two venues in Gabon, co-hosts of this year's tournament with Equatorial Guinea.