The Manchester Evening News, ESPN, the Mirror and Sky Sports were all barred from Tuesday's press conference after publishing the stories without giving the club the opportunity to respond.
The Mirror and Sky reported that several players were calling for Ten Hag to recall Jadon Sancho, who has been exiled from the squad since criticising the manager on social media after being left out of the team against Arsenal.
The Manchester Evening News, meanwhile, reported that some players were losing confidence with Ten Hag over his tactics and signings, and ESPN claimed the manager was "fighting for the support of his players".