Sean Dyche's style would fit Everton's "blueprint", but he would need to be given time at the club to turn things around, said the panellists on The Debate on Monday.
Burnley manager Dyche is the favourite to take over at Everton after Ronald Koeman was sacked.
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Dyche has been with Burnley since 2012, winning the Championship in 2015/16 and keeping the club in the Premier League for the last two seasons.
Even though the Clarets have at times been criticised for a "long-ball approach", former England and West Ham defender Matthew Upson told The Debate on Sky Sports Premier League that Dyche would be a good fit for Everton.
"There is a lot of logic in it, I can't think of a reason why it wouldn't be logical," he said. "But it boils down to what they [the club] want to be.
"He [Dyche] has a very definitive path based on his managerial career so far. It's a very organised, very regimented group of players that work hard and are committed and they have a system that is quite clear and might be direct at times, but it has got great results, and he has done a fabulous job for Burnley.
"Whether or not that would need to change…the values of Everton in the past at some stage have been that, David Moyes and others didn't play free-flowing, open, entertaining football all the time.
"Dyche has put together teams that are organised and very difficult to beat. It does fit the blueprint for what Everton are. Everton need a positive structure to know how they are playing."
Everton spent heavily in the summer on players like Michael Keane, Davy Klaassen, Jordan Pickford, Gylfi Sigurdsson and Wayne Rooney, but Koeman leaves them 18th in the Premier League table after nine games.
Bournemouth goalkeeper Asmir Begovic thinks Dyche would have a "positive impact" at Goodison Park if he did take charge.
"He would bring organisation and hard work and that's the identity of Everton - hard work and giving everything for the shirt," said Begovic on The Debate.
"But that's the decision for the owners. Which way do they want to go? Do they want to go back to what Everton were and what Goodison stands for - that hard-working, aggressive, almost sometimes nasty team that likes to get stuck in, and add a bit of quality on top of that? Or do they want to play attractive football that's great to watch for the public?
"Sean Dyche could come in, but he would probably fit in the old-school Everton type of mentality and maybe relate to the fans a bit more.
"I am not sure the players would fit Sean Dyche, so he would have to be given time to make sure the team fits exactly his mentality."
The Sunday Times' Jonathan Northcroft agrees Dyche could be a good fit, but also thinks former manager David Moyes should be considered.
Moyes, who is currently without a job, spent 11 years at Everton between 2002-13 and won the LMA Manager of the Year Award on three occasions.
"He is the man who built that modern club," said Norcroft. "It would be a bit like Jose Mourinho going back to Chelsea when he did; to fix what was broken. A lot of fans would be against it because they want something new, but in football terms there is logic to it."
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