Oster, currently at League Two side Barnet, played for Everton under both Howard Kendall and Walter Smith after signing for the Blues as a teenager.
And the former Welsh international is a big fan of the way Everton are playing under their current manager.
"They've been brilliant, it's remarkable what David Moyes does year in, year out," he said. "It’s incredible, the team spirit that they've got because there are no massive superstars there. He gets the best out of what he’s got and full credit to him.”
Oster joined Everton as a youngster from Grimsby and the 34-year-old believes that Everton and Moyes are a good fit.
"He keeps getting touted for bigger jobs, but I don’t know if it will be as much of a challenge as it is to get Everton where they are in the league on the budget that they have," Oster said.
"It’s difficult, because where does he go? All the top jobs are taken, barring Chelsea I don’t think anyone is looking for a manager, so where would he go that’s better than Everton? Nowhere really."
Moyes, who celebrated his 50th birthday yesterday, is the third longest-serving manager in the Premier League and Oster praised his no-nonsense managerial style.
"He comes across as someone who doesn’t settle for second best," he said. "He can be quite outspoken, he says it the way he sees it. If his teams play badly he will come out and say it, and if they’ve played well and he thinks they deserve better from the game, he will say that as well.
"He strives for perfection every game and he wants the players to do the best that they can do."
Do you agree that Moyes is best off sticking with what he knows?
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