Opening Night appears on Help(2), a compilation featuring more than 30 artists including Olivia Rodrigo, Wet Leg and The Last Dinner Party.
Released on 6 March, the project will raise funds for War Child – a charity set up to help children living through war.
“Everyone agrees that kids shouldn’t be in a situation like that,” Matt told DJ Jack Saunders.
“Our enthusiam to be involved in this album was at an all-time high.
“It was an opportunity for us to do a new song and get back together for the first time in a couple of years and see if we could still do it.”
The Sheffield band have built up a devoted following since they released debut album Whatever People I Say I Am, That’s What I’m Not in 2006.
It became the UK’s fastest-selling debut of all time, and the four-piece went on to release a string of number one albums.
Matt and his bandmates, singer Alex Turner, guitarist Jamie Cook and bassist Nick O’Malley were behind 2007’s Favourite Worst Nightmare, 2011’s Suck It And See and 2013’s AM.
Their last release, The Car, climbed to number two in the UK album charts.
Asked whether they needed a reason to get back to writing music, Matt told the New Music Show he didn’t feel there needed to be one.
He said the studio was the band’s “happy place” and somewhere “it feels natural” for them to be.
He said “time will tell” if this latest project inspires them to create more music.
“I think we went into this knowing it was a one-off,” he said.
“But then, having done it, we probably went away feeling like we just had a lot of fun making this record.
“There’s no conversations about it, but it’s definitely something we love to do and we’ll always do.”