Liverpool's owner John Henry says he is not selling the club but expects there to be some investment in the Anfield side.
FSG chairman Tom Werner later saidexternal-link the club's owners were "exploring a sale".
But since then, in an interview with the Boston Sports Journalexternal-link, Henry said: "Are we selling LFC? No."
Henry made his comments in a question and answer session conducted over email with the Boston Sports Journal.
"Are talking with investors about LFC? Yes. Will something happen there? I believe so, but it won't be a sale."
FSG bought Liverpool in a £300m deal following the tenure of former owners Tom Hicks and George Gillett.
American basketball star LeBron James has been a part-owner of Liverpool since 2011 and has a 2% stake which cost him £4.7m.
He has since become a minor partner in FSG, which also owns baseball side Boston Red Sox.
In March 2021, RedBird Capital Partners, a private investment firm, bought a stake in FSGexternal-link for about $735m (£533m).
FSG have been open to investment in Liverpool and have recently engaged Morgan Stanley and Goldman Sachs in that process.
"Yes. I know there has been a lot of conversation and quotes about LFC (Liverpool Football Club), but I keep to the facts: we merely formalised an ongoing process," said Henry.