New York (CNN Business) President Donald Trump speaks about Fox News as though the network is his own state-run TV channel, journalists told CNN's Brian Stelter on "Reliable Sources" Sunday.

Trump's flip-flopping feelings about Fox were on full display last week. After the network ran a segment on Wednesday featuring a Democratic National Committee spokesperson discussing the upcoming debate, Trump sent a tweet chastising Fox for its coverage.

"The New @FoxNews is letting millions of GREAT people down!" Trump tweeted Wednesday. "We have to start looking for a new News Outlet. Fox isn't working for us anymore!"

The next day, Trump called in to Fox radio host Brian Kilmeade's show and rated various Fox reporters' coverage of him. On Saturday, Trump praised the network on Twitter, in particular talk show host Sean Hannity and other Fox shows that are "Fair (or great) for your favorite President, me!"

GQ political correspondent Julia Ioffe said the suggestion that a news outlet would be "working" for the president reminds her of the way authoritarian leaders elsewhere view their own state-run media networks.