Roach stood down at the First Division North club on Wednesday after accepting a new job in Milton Keynes.
Officials at Ingfield say potential candidates should contact club secretary Neil Spofforth with their CVs and a covering letter after posting the news and a job description on their official website.
Thanking Roach for looking after John Reed's side, a spokesman said: "Matt leaves the club with everyone's best wishes and thanks for the time he has been at Ossett Town."
Ossett Town
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