Neville was a guest in the Sky Sports studio during the game. Footage showed him making the comments, which were not meant for public consumption. The remarks were later picked up by the live microphone.
Host David Jones immediately apologised for the mistake, saying, "I do have to apologise." The incident has sparked a brief moment of awkwardness during the broadcast.
Leeds United ultimately secured a 1-0 victory over Everton on the night.