The 24 year-old's protracted loan transfer from Rubin Kazan to the Hoops has now been completed after a work permit was issued.
Celtic have the option to buy Wakaso outright.
And the man who won caps No.18 and 19 for Ghana at the World Cup finals against Brazil in the summer is determined to hit the ground running and quickly convince Ronny Deila to sanction the purchase.
He said: "I am happy to have signed on loan at Celtic for the season.
"I can't wait to get started with the Hoops."