Suarez was keen to leave Liverpool over the summer, but the club stood firm and refused to release the Uruguay international.
And the 26-year-old has been in superb form since returning from a suspension which was carried over from last season for biting Chelsea's Branislav Ivanovic.
Werner said: "There was interest in him from other clubs throughout the summer but it was important for us to try to keep him.
"He is one of the great players of the world and we felt that we would be a stronger club with him than without him.
"That does not mean I don't respect his intense desire to play in the Champions League. But it would be a very happy day next May if and when we get to the Champions League by finishing in the top four and he is part of it.
"It is our intention to keep him for a while. Our intention is to build a winning club and he is integral to that. The past is the past and I have great affection for him personally."
Werner has also praised the job manager Brendan Rodgers has done, with Liverpool enjoying an impressive start to the season.
"I think Brendan has made remarkable progress," Werner said in the Daily Mirror, with Liverpool only kept off top spot by Arsenal on goals scored.
"He's a great strategist and has shown strong leadership. When we hired him, we were confident we were getting one of the brightest managerial talents in the game and he is proving his worth.
"He's dedicated to improving the club as a whole and shares our vision of developing a club that is built for sustained success.
"He has shown a willingness to use young players and at the same time, demonstrated the ability to get the best out of our established stars.
"Brendan is respected by the players. They feel he is a good strategist and a good leader and his philosophy has been embraced by everyone.
"We are all moving in the same direction and Brendan is very much the leader.
"We're pleased with the progress we're seeing on the pitch but our goal is to create sustainable, long-term success at Liverpool and to consistently compete for silverware, so we're not getting carried away with a few good months.
"The club is definitely moving in the right direction under Brendan and as owners we're very optimistic and excited about the future."