Yes, they have. The current manager is Brendan Rodgers.
Liverpool sacked Kenny Dalglish as manager in mid 2012.
Kenny and the owners of Liverpool have agreed a contract after a few years if Liverpool are doign well they will agree on a new contract if not they will terminate the contract or sack him
Kenny Dalglish was the Captain for Liverpool FC between 1979 and 1979.
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Kenny dalglish in 1990 Kenny dalglish in 1990
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Lucas Leiva, But seriously - Kenny Dalglish is normally #1
The manager for Liverpool before Kenny Dalglish was Roy Hodgson, who was sacked and then made a move to manage Wigan Athletic.
It's Kenny Dalglish now as of Feb 2011