Moyes, 51, popped in to the salon of celebrity hairdresser Taylor Ferguson for a trim and then posed for a photograph with the owner.
Taylor posted the photo online and said: "Good to welcome David Moyes into the salon today. Always good to catch up whenever he's back in Glasgow."
Moyes was sacked on April 22 after just 10 months in charge of Manchester United following a disastrous first season at the club he took over from fellow Glaswegian Sir Alex Ferguson.
Moyes presided over a series of defeats that saw the club miss out on European football for next season.
Moyes then retreated to his holiday home in Florida with wife Pamela where he was spotted taking early morning runs along the beach.