Asante Kotoko last beat Hearts Of Oak at home in a league match in 2012.
Midfielder Michael Akuffo scored a screamer which beat goalkeeper Philemon McCarthy.
Akuffo struck in added time and it flew past goalkeeper Sammy Adjei like a rocket for the match winner.
Ahead of the the return leg clash for the 2015/2016 season, Kotoko faithful want a repeat of what happened four years ago.