The movie focuses on United's famous graduates David Beckham, Ryan Giggs, Neville, Paul Scholes, Phil Neville and Nicky Butt, all of whom came through the ranks under former manager Sir Alex Ferguson.
Neville plugged the film on Twitter, to which Morgan replied by saying that he wouldn't interview the group about the movie because he doesn't "do horror films, sorry".
The Sky Sports pundit responded by claiming that featuring the six players on his ITV show Piers Morgan's Life Stories would 'save his job'.
The pair went on to squabble about ex-United midfielder Scholes's interviewing ability.
Take a look at the tweets below:
"@piersmorgan: Scholes doing Life Stories would be pure comedy.he'd run out of words after 3 minutes."
He could two foot u the other 57mins— Gary Neville (@GNev2) November 12, 2013