At about 1pm on 17 January, the masked man entered the agency in Ayr Road, Newton Mearns, brandishing a knife, Police Scotland said.
He took a “five-figure sum” of an unnamed foreign currency and drove south in a silver vehicle, according to the force.
The suspect is described as white, 6ft 2in tall, slim and wearing a white mask, black beanie, light long-sleeved top, navy-blue trousers and white shoes.
Police Scotland is appealing for anyone with information to come forward.
Detective Constable Mark Milroy of Glasgow CID said: “Nobody was injured but this was a frightening experience for staff and customers alike.