Ashley Giles does not believe England should look abroad if they decide to appoint a new coach.
Giles, who was England's limited-overs coach until being replaced by Moores last year, said: "A foreign coach isn't necessarily the answer."
"We need to look from top to bottom how we play."
BBC cricket correspondent Jonathan Agnew is among those to suggest a foreign coach is the way forward.
He pinpointed former New Zealand skipper Stephen Fleming or ex-India and South Africa coach Gary Kirsten as possible candidates.
But Giles, now in charge of Lancashire, said Moores was not solely to blame for England's poor World Cup showing.
He said that the players "have to take some as well", adding: "They've just not really played well enough during the tournament."
Giles, whose final match in charge of England was a 45-run defeat by the Netherlands at the World Twenty20 in March last year, lost out to Moores when a new coach to lead the team in all three formats was announced the following month.
Asked about splitting up the roles again, Giles told BBC Radio 5 live: "You need to be a team of coaches, not completely different groups, because there needs to be some crossover.
"But the game is moving on and we do need to keep up with it. We need to start playing a different brand of cricket."
On the subject of coaching England again, he said the job brought "a fair amount of stress with it" and added that the pressure exerted by people on social media would make him think twice about taking it.
"Whether I need that job or not, I'm not sure," he said.
Australia's Jason Gillespie, who led Yorkshire to the Country Championship title last season, has been linked with the post but told BBC Radio 5 live: "It's very flattering.
"At some point in the future I have ambition to be an international coach but at this point right now we're about to leave on a pre-season tour with Yorkshire, and my focus is on that."