The Manchester United man, wearing no.15 and playing on the right, also had a big part in the opening goal, jinking inside to lay the ball into the path of Franck Kessie, who took a touch before rifling into the net, with only seven minutes on the clock.
RB Leipzig youngster Yan Diomande added a wonderful second, before Amad's opportunity to get in on the act arrived with six minutes remaining.
A free-kick centimetres outside of the box allowed him to sweep in a majestic left-footed strike to wrap things up in the Abidjan rain.
Ivory Coast finished Group F in the African qualifiers without conceding a goal in the 10 games, to top the standings by a point, ahead of Gabon.