Oldham were expected to make an announcement confirming the appointment of Scholes this evening but pulled the plug following their 3-0 victory away to Crawley.
The former Manchester United star has been in talks with the Latics for a number of weeks but had to wait for clearing from the EFL because he owns a 10 per cent stake in National League side Salford City.
A shareholding of such amount is permitted so long as it is ‘purely for investment purposes’, meaning he has been given the green light to take charge of his boyhood club.
However, it is now unclear when Oldham will confirm the appointment.
But Ince believes his former United team-mate should have taken a “better job”.
“I find it strange how the likes of Gerrard goes to Rangers and Lampard goes to Derby,” Ince told BBC’s Final Score.
“You have got world class people like Paul Scholes going to Oldham.
“I know it’s round the corner from where he lives but I would like to see, if he was to go into management, get a better job than what he’s got.”
However, Ince still backed Scholes to have a successful spell in charge of Oldham.
“I’m interested to see how he gets on,” he added.
“It is going to be tough. They haven’t got a big budget.
“I kind of think he will be ok. He will get a lot of help and has got a lot of connections.
“You have got to start somewhere.”
Oldham rose to 14th in the League Two table with their latest win.
And Scholes will be tasked with trying to get the club back into League One following last year’s relegation.