The on-loan Albion winger scored early as Blues beat Leicester City 2-1 in the Championship.
He was also the man fouled for a red card as Bobby De Cordova-Reid was dismissed.
Osman has impressed for Birmingham since his loan allegiance was switched from struggling Auxerre in France.
His acceleration and unpredictability are making him a nightmare for right-backs and exciting Birmingham fans.
Ricardo Pereira was the defender to suffer this time, not least on the opening goal.
Osman raced away before slotting past recalled goalkeeper Asmir Begovic after easily dispossessing dallying Leicester captain Pereira
It was the Ghanaian’s first goal for Blues.
Birmingham boss Chris Davies said: “To nick the ball like Ozzy did and take it through and score is excellent.
“It builds into this mentality of not giving the opposition time on the ball.”
Osman played his first full 90 minutes for Birmingham having previously started against Stoke City and Oxford United.
This is his first taste of the English club game having previously played in Denmark, Holland and France.
He has joined fellow Albion loanee James Beadle in the West Midlands.