Owner Patrick Cryne has defended his decision to search the lower leagues for Barnsley's new manager.
Rochdale's Keith Hill has turned down the chance to replace previous boss Mark Robins, while Leyton Orient have rejected Barnsley's approach for their manager Russell Slade.
A Barnsley club statement read: "The bigger name managers are waiting on decisions on Premier League vacancies or posts they expect to be vacated in that division and in-post managers in clubs positioned last season higher in the Championship are not attracted to our club. This is hardly surprising."
Cryne said Tykes fans had expressed their concerns that Barnsley was "in a rut" and the football on view at Oakwell had become "staid and defensive" in recent seasons.
The statement continued: "That is not good for our business or our fans' enjoyment of games. We must do better for our fans in terms of the football product.
"A new manager is an opportunity to change the momentum and direction of our club. We need for our club a manager who is a good motivator, a communicator and has a football philosophy that will excite our fans and get results. That is what the board is determined to achieve."
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