With a crowded transfer window, the Porcupine Warriors should be able to sign the highly-regarded left-back.
For Berekum Chelsea, who placed third in the just concluded Ghana Premier League season, the 21-year-old put on a superb display.
Asante Kotoko and other Ghana Premier League clubs took notice of Asiedu's remarkable performance.
Reports state that Kotoko and Chelsea have agreed to the defender's deal during the current transfer window.
Asiedu will sign a three-year contract that would keep him with the previous champions of the Ghana Premier League till 2027.
After a poor season in which the Porcupine Warriors ended sixth in the league standings, Kotoko is eager to recover in the forthcoming campaign.