From CNN’s Reliable Sources by Brian Stelter and Oliver Darcy:

Fox News largely refrains from criticizing Donald Trump. But, in private, Lachlan Murdoch has denounced some of the former President’s behavior in harsh terms.

In private this year, the Fox Corp. chief executive has freely criticized Trump, saying that he disagrees with much of the way the former President behaves, sources tell me. Murdoch has gone so far as to tell people that he believes if Trump were to run again, it would be bad for the country,.

From a New York Times story by Jeremy W. Peters headlined “Fox News, Once Home to Trump, Now Often Ignores Him”:

It’s been more than 100 days since Donald J. Trump was interviewed on Fox News.

The network, which is owned by Rupert Murdoch and boosted Mr. Trump’s ascension from real estate developer and reality television star to the White House, is now often bypassing him in favor of showcasing other Republicans.

In the former president’s view, according to two people who have spoken to him recently, Fox’s ignoring him is an affront far worse than running stories and commentary that he has complained are “too negative.” The network is effectively displacing him from his favorite spot: the center of the news cycle.