The Ghana international netted a hat-trick for his Swiss side in a 6-1 mauling of Turkish side Goztepe on Sunday
He scored the second goal of the game for FC Zurich in the 17th minute, after Frey had broken the deadlock in the 5th minute.
Before Dwamena got a brace in the 35th minute and completed the wallop in the 90th minute.
FC Zurich have returned home to continue preparations for th start of the Swiss Super League this weekend.
They open their campaign on the road against Grasshopers next Sunday.