The 63-year-old has advocated the need for stability within the club, citing Manchester United's success under Sir Alex Ferguson in the past as a lesson in patience from the board
Fenway Sports Group (FSG) released both director of football Comolli and head of sports science Dr Peter Bruckner on the same day, but handed Dalglish a vote of confidence.
Evans, who managed the club for four years between 1994-98, believes the patience shown by FSG so far is the right course of action, particularly considering the upheaval at Anfield in recent years.
"Stability is hugely important in football," Evans told Yahoo Sports.
"Nowadays in football, the players never seem to bear any responsibility when things go wrong and it is always the manager who gets blamed.
"You see some clubs chopping and changing managers at will, and something needs to be done about that.
"You look at the most successful clubs, and they are the ones where the manager has been given time to get his feet under the table and do his job properly.
"Owners need to show some patience, and realise you cannot simply buy success while changing the manager every season."
The former Wales assistant manager went onto cite the example of Manchester United boss Sir Alex Ferguson as a prime example of when an owner's faith in a manager has been rewarded with success on the pitch in the long run.
He added: "Everybody should keep in mind Alex Ferguson, who people thought was close to being sacked in 1990, and just look at what he has achieved because the club gave him time to get things right."
Evans, though, did concede that the performances on the pitch simply haven't matched up to expectations this season and that while Dalglish deserves credit for ending the club's six-year trophy drought, the inconsistent league form will have to improve in the future.
Evans continued: "[Dalglish] had a good start, he brought that desire and you hoped the team would go on, but unfortunately that has been derailed a little bit.
"They have won the Carling Cup, and it's great to win a trophy in your first full year, and they have a chance of another in the FA Cup.
"But I think everybody recognises their league form hasn't been good enough - that's not to criticise Kenny, it's just a fact.
"They have struggled to win games at home and haven't been their usual force - and I'm sure everyone at the club is doing their utmost to put that right."
When asked about where he thought the destination of the title would end up this season,
Evans couldn't look any further than the current league leaders, Manchester United.
He added: "They go into a different mode and a different mentality in the second half of the season.
"It's hard for me to say it, but they have been the best team over the course of the season.
"Even if it is not the strongest squad they have ever had, they know what it takes to win and they would be worthy champions."