The boyband were playing a set at the Prophet Bar in Dallas, Texas when the incident occurred, after the star came into contact with pyrotechnics.
[The Wanted: Nathan, Siva, Max, Tom, Jay]
"We came through these big flames and just before I started singing I noticed these techie guys waving their hands," George told The Sun.
"I looked down and my arm was on fire. It was scary, my arm was on fire. Luckily there was no damage but it could have been a disaster.''
The Wanted are currently working on their third studio album, which is expected to be released later this year.
However, Jay McGuiness has revealed that they have accumulated so much new material that they may release two albums in 2013.
Watch the new music video for The Wanted's 'I Found You' below: