Fenway Sports Group dismissed club legend Kenny Dalglish at the end of last summer and replaced him with Rodgers and, after a difficult start to the season, he has improved things with the side finishing one place higher than last year.
Results against the top six were not great though and they only managed one win, against Spurs back in March, but Werner has still backed his manager.
"I think Brendan has made remarkable progress," he told the Liverpool Echo. "He's a great strategist and has shown strong leadership as he has led the team through this season.
"Obviously there is disappointment that we didn't finish higher in the table but the team has certainly improved as the season has gone on.
"The club is definitely moving in the right direction under Brendan. Our intention is to strengthen the squad further this summer and as owners we're very optimistic and excited about the future."