I don't know whether that's just your impression or whether you've read something along those lines but everything I've read says exactly the opposite. FSG are one of, (if not) the biggest sports ownership around. They are looking to increase their 'franchise' portfolio not diminish it which is why they have sold a fraction of their stock for £500+m to RedBird Capital, specialists in sport acquisitions. The current portfolio including LFC, Red Sox and a a50% share in a NASCAR team is valued at £8bn. Divide that up proportionatley and it isn't hard to see Liverpool's value being £2-3bn. They aren't going anywhere.
Although, what do I know.