Fox Corp. is a publicly held company. Funds Vanguard and Dodge & Cox are the biggest shareholders followed by many others. I don’t see the Murdoch’s on the top 10 list, so I’m not sure what their power structure is, hopefully tenuous. Blackrock owns just under 5% of the shares. Seems to me I heard they are run by Trump haters.
Ok, a little more research. Via Trust the Murdochs own 39% of Fox Corp. The other 61% could make life difficult if the bottom line stars tanking.