Moyes was sacked by Real Socieded recently.
Leeds United are looking likely to be under new ownership in the near future as it becomes more and more apparent that Massimo Cellino is ready to sell up.
He announced his plans to move on recently and it has emerged that local multi-millionaire Steve Parkin is the frontrunner for the role.
The former Everton and Manchester United manager was sacked by Real Sociedad recently which saw his stock fall once again but Parkin is said to be a big fan of the Scot.
Now one man who knows a thing or two about representing both Everton and Leeds has been talking about the Moyes stories.
Ian Snodin played for Leeds from 1985 until 1987 before embarking on a successful eight year career at Everton.
The Yorkshireman has been writing in the Liverpool Echo about the matter this weekend, and had this to say:
"I don’t mind Moyesy, he is a football man and I think he did a decent job at Everton.
"It’s unfair on Steve Evans, who is the manager now and has had a couple of great results but there was talk of new owners at Leeds United and if that happens there was speculation that Moyes might be the man to take over there.
"It was a surprise to hear David’s name mentioned with a team below the Premier League but they are a big club and if it does happen somewhere along the line I’m sure he’d grasp the opportunity with both hands.
"However, I think there will still be plenty of teams in the Premier League with their eye on David Moyes and there are plenty of clubs he could do a good job for in English football."
One thing for sure is that it does appear unfair on Steve Evans. So far he has done a good job at Elland Road and does not deserve to lose his job if new owners come in.
However if it means Cellino going Leeds fans might be tempted to switch out Scottish gaffers.