The petrol station forecourt at Morrisons supermarket in Anniesland was sealed off by the police last night (Sunday, March 20).
The man allegedly made threats to himself and staff.
The incident took place at around 8pm.
The area around the supermarket near the main road A739 road which links Bearsden and Glasgow at Anniesland Cross was closed to members of the public as officers talked to the man.
No one was injured and the petrol station later reopened.
A man was detained in connection with the incident.