The Scotsman was let go from Anfield yesterday following a dire Premier League campaign, which resulted in eighth place for the Reds.
"I would hope nobody would prejudge things now," Dalglish told the Liverpool Echo. "The owners have their own reasons for doing what they have done.
"They came in to help the club at a time when it wasn't in a great condition. They have improved it, taken it forward and are doing the best they can.
"Liverpool is still a great football club, still a club that should believe in whoever is going to come in after myself."