The Premier League returnees completed the deal with the 34-year-old following a successful negotiation between the player and Olympics officials.
Ghanasportsonline.com understands that the experienced goal poacher will be with the “Wonder Club” till the end of the season.
Attram who was initially linked with a move to the Teshie-based side failed to sign for the Club after disagreeing on his transfer money.
The former PSV Eindhoven attacker will be hoping to refine Olympics’ attack with his rich vein of experience in Europe.
He represented Ghana at the 2006 Africa Cup of Nations in Egypt.