The Reds have made a stunning u-turn on their plans to join a European Super League, with them and the other five English teams withdrawing from the competition Tuesday night.
But the damage has been done as far as the reputation of the ownership group in the eyes of supporters.
"I actually think the situation with Liverpool's owners is that l don't see how they can continue," Carragher told Sky Sports.
"They can't just leave the club, obviously, the business is worth a lot of money.
"But I don't see a future for the ownership of FSG at Liverpool on the back of this."