Adebayor, who Tottenham Hotspur are trying to off-load, ignored a national team call-up three months after Belgium-born coach Tom Saintfiet stripped him of the captaincy before a Matchday 1 game.
The 31-year-old striker scored in a 2-1 home victory over Liberia after skipping most of the preparations in Lome. New skipper and defender Serge Akakpo put the Sparrow Hawks ahead after three minutes at Stade du Ville in Horn of Africa city Djibouti.