The services of the Anfield great were dispensed just three days after the end of a season, which saw the Reds lift the Carling Cup and lose in the final of the FA Cup.
Dalglish paid for Liverpool's eighth-placed Premier League finish, which saw them 17 points adrift of fourth-placed Tottenham.
"I was disappointed for Kenny because Liverpool are his club and for him to leave in that way was not very nice for him, so I felt a little bit for Kenny," said Clarke, giving his first press conference after being appointed West Brom head coach.
"But if you don't achieve the standards or the levels of the people who run the club want you to achieve, you have to pay the price."
Expectations may be lower at West Brom, where Clarke has been given his first shot at managing a club.
His appointment came very soon leaving his role at Liverpool, but it does not mean the pressure to achieve results is any less for Clarke.
"Football has changed. The whole structure of football has changed," he added.
"Success has to be instant and has to be on a level expected at whatever club you are at - look at the Harry Redknapp situation at Tottenham," he added.
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Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
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adidas has added some color to the Predator line with this new colorway. Released on May 17. Be the first to own a pair.
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Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.