The 28-year-old was questioned by police after plain clothed officers witnessed the alleged incident at the ATM outside Tesco Express in the city's Argyle Street on Wednesday at around 10.40pm.
The man was arrested and he was due to appear at Glasgow Sheriff Court today.
Police have urged people to be extra vigilant and careful when using ATMs in the wake of the latest incident.
In May we reported how fraudsters were targeting city centre cash machines using bits of plastic to scam money from customers.
The scam involves putting a loop of plastic into the card slot, which then traps any card put in the machine.
Thieves often connect a machine skimming device which swipes the details of a card when a customer puts it into the machine.
The device is usually placed alongside a secret camera that visually records the customer entering their personal identification number.
Scammers can then create a fake card and hack into the victim's account.
Strathclyde Police Chief Inspector Martin Cloherty, of the City Centre police office, said: "When you go to an ATM study it carefully and look for signs that it may have been tampered with.
"We would advise people to look and see if the machine looks defaced, if the card slot is hanging loose, or if there are wires hanging out.
"If you see any of these signs or anything else suspicious, do not put your card in it.
"Contact police and if it is beside a shop or bank let them know."