The two clubs are actively seeking moves away from their respective homes, as their relatively small capacity in comparison to other big clubs is seeing them lose millions in potential revenue.
Liverpool’s great rivals Manchester United receive £60 million more than them in annual match day revenue.
There has been a history of failed groundshare attempts between the two. Talks broke down in 2008 after Everton could not afford their half of the costs, and any subsequent proposal in which Everton were not equal partners was immediately quashed by Everton chairman Bill Kenwright.
After fans strongly opposed the prospect of a groundshare with their fierce local rivals, Werner has reassured them it is no longer an option.
“We have been told countless times by our supporters that they have no desire for us to share a stadium and we have listened to that,” Werner told The Telegraph.
“Our supporters are not for it, therefore it is a dead issue. I have said before you can never say it will never be raised again, but although there are obstacles on Anfield redevelopment and on the issue of naming rights, I believe they are surmountable.
Werner revealed owner John W Henry had visited the Allianz Arena in Germany, a ground shared by Bayern Munich and 1860 Munich, to see how the arrangement worked.
He continued: “John visited the Allianz Arena recently as part of his education in European football generally.
“We are learning more and educating ourselves every day.
“You are aware of the matchday revenue figures for Europe and the Premier League’s biggest clubs and we need to find the solution to bridge this gap.
“When you analyse those figures you see the importance of us raising revenues globally through a variety of means, including through our TV channel which presents many possibilities given the club’s worldwide popularity. It is vitally important we keep up with up with what our rivals are doing so we are challenging in the future.
“We have played at Anfield for a long time and we have not given up on that continuing but the other option remains. If we are going to spend upwards of £300 million on a new stadium, it is a fair assumption to say we will be assessing other designs other than the Hicks Stadium. Far from downhearted, I am very encouraged about the possibilities.
“What the supporters want most is a winning club and that is something we are in the process of improving.”