Jewell left Ipswich with the club bottom of the Championship and winless in 11 games.
He received criticism for failing to secure a settled squad and for the number of loan signings he made this term - eight in all.
But he insists he received the constant backing of Evans, who has yet to get close to taking Town to the Premier League since he bought the club five years ago.
"You couldn't have a better owner," he said. "Some chairmen and owners want to pick the team, but with Marcus absolutely not.
Analysis - Who next for Ipswich?
Kevin BeattieEx-England and Ipswich defender
"I like Mick McCarthy. He's a very good manager. he knows what it's all about and he'll get players playing for him. He'd be top of my list with the likes of Alan Curbishley and Mick Mills."
"Whoever gets the job is going to be lucky. Working with someone like Marcus has been fantastic. In football terms he lets you get on with it. We haven't done as well as we'd like but the owner is top drawer.
"I never really had the feeling this was my team. It chopped and changed a lot. The players have worked hard enough we just haven't been able to get on a run.
"It's not a poison chalice. It's a difficult job. But it's a brilliant job.
"The team lacks pace and strength. That's what we tried to get but we couldn't get it. I tried to address it over the summer but the players I wanted weren't available."
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