Suarez proved too hot to handle for the Norwich defence all afternoon, and kept his cool despite constant barracking from the home support.
"We are not surprised by Luis because of the quality of the player he is," said Dalglish, who revealed striker Andy Carroll had a slight groin injury which should clear up in time for the midweek Premier League game with Fulham and the cup final.
"It was a fantastic hat-trick, and (he is) a fantastic person.
"He has always been comfortable at Liverpool and we are delighted to have him.
"We are fortunate to have him playing for us, when he is playing like that it is very difficult for anyone to stop him."