Torres stunned Kop fans by slapping in a transfer demand on Friday as Chelsea lined up their British record deal for him.
It immediately led to a terrace backlash from Anfield supporters, who have idolised him for the past four years.
But Dalglish insisted: "It has happened a lot. People forget that.
"Players leave the club and players come in, though more have come into this club than gone. It's no different now. People move on.
"The most important thing is the club.
"More important and bigger than any individual, no matter who has been through it previously and who will in the future. The club is the club.
"I will never forget that and anyone who does is being a wee bit stupid and irresponsible."
Dalglish is certainly well placed to comment after arriving on Merseyside to fill Kevin Keegan's boots with fans fearing for the future.
Back in 1977, he was signed in a then record £440,000 transfer from Celtic and went on to become the greatest player ever to pull on the red shirt.
He added: "I started at Celtic and moved on. But if Kevin had not gone, maybe I would not be here. Imagine. They must have thought it was the end of the world when I came in and Kevin left!
"The most important people at the club are the ones who want to be here."