Listen to the track, which is out November 3 and was co-written by the group, below:
Singer Jade Thirlwall later tweeted: "Can't believe #move is out there now! Thank you @grimmers for having us in always a hoot! XxJadexx.
"Ahhh #Move is trending worldwide!! Thank you for all your love and support Mixers! We couldn't do this without you!"
The song, which is available to pre-order online from today (September 23), serves as the lead single from their second studio album, which follows on November 11.
Little Mix recently revealed that they have been recording "weird" sound effects for the upcoming collection, with Jesy Nelson adding: "Yesterday I was doing a baby cry for one of our songs on the album. Don't ask me why."