"Admittedly he's a newcomer," said Lindsay. "But we don't have to give it to someone outside the club because it could still be David's to win.
"I think you have to give caretaker manager's a chance otherwise you shouldn't give them the position in the first place.
"David admits he's only been in management a year and it isn't long since he retired from playing, but no-one's ruled in and no-one's ruled out."
Meanwhile, a number of loan signings returned to their parent clubs following Ferguson's departure.
Defender Ritchie de Laet and forward Josh King were both recalled by Manchester United, while Stoke decided to end loan spells involving midfielders Michael Tonge and Danny Pugh early.
"It would be remiss of me if I didn't say I was disappointed," said Lindsay. "But I have gone on record to say both United and Stoke made it quite clear that they could recall any of the players on a 24-hour basis.
"The timing was regrettable but we knew the rules when we signed them and can't really grumble now.
"I know people have gone for the theory it was because Darren left I have no comment to make on that, other than Manchester United were very good to us when they let us use their training facilities during the recent poor weather."
Bookmark with:
What are these?