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Fans get fed up when a manager remains stubborn despite his methods not working.
Kenny Dalglish made consistent errors as manager and pursued with some questionable strategies; the most prominent of which was sticking with the highly inept Charlie Adam week in, week out.
Brendan Rodgers has been the polar opposite so far, showing willingness to change despite his faith in the 4-3-3 and a penchant for testing the youth products coming out of Melwood.
Raheem Sterling, Andre Wisdom, Suso, Martin Kelly and Oussama Assaidi have all found playing time—be it in the English Premier League or the UEFA Europa League—and they have grown rapidly as a result.
You just get the impression every person in the club respects their manager, which can only be a good thing.