The Reds will compete for what would be the first piece of silverware of the Jurgen Klopp era when they face Tottenham on Saturday in Madrid.
And the Liverpool chairman believes the burgeoning partnership between FSG and Klopp will continue for many years to come.
“We don't really want to discuss his situation publicly, especially so close to the final,” Werner told the Liverpool Echo of Klopp's Anfield future.
“But I think you know that we think the world of him.
“We have already extended his contract once. All I can say is that it's obviously important that he stays for as long as he likes. We believe that he's committed to Liverpool.
“Our philosophy is rooted in the belief that when there is an atmosphere where people are empowered to work together as a team, great things can happen.
“Obviously, it starts with Jurgen and his outstanding leadership. That's critical to everything that we've achieved this year.”
On claims FSG are seeking a buyer, Werner added: “Every time those rumours come up we bat them down. I hope people now know that we are focused on continuing the progress of this club.
"We have no intention of selling. We have reached a position where I think the club is in the best shape it's been for a very long time.
“We have always said that our desire is to win silverware and we're hungry to touch that trophy in Madrid.”
Liverpool missed out on the Premier League title despite setting a club-record points total, with Manchester City retaining their crown ahead of the Reds.
However, City are currently under investigation over potential Financial Fair Play breaches – accusation that the club strongly deny.
“One of the reasons why we were pleased to become involved with Liverpool was that we believed in the importance of Financial Fair Play rules,” Werner said.
“I don't know very much about what's going on with the (City) investigations, but all I can say is that we are strong advocates of the rules.
“We expect all the clubs in the league and all the clubs in Europe to comply. If they don't comply then there should be punishments.”