The midfielder, 27, was one of 10 out-of-contract players released by Alan Knill, the Iron boss, this summer.
A drop down to the Blue Square Premier always seemed unlikely, but the Grimsby Telegraph reported on Friday that Mariners fans had hoped for a move.
"He is a good player, but there is no truth in any move by us to sign him," Hurst told the newspaper.
"He has been playing at a good level and I don't think he would see himself dropping to the Conference."
Garry Thompson, also released by the Iron this summer, has been linked with a move to Carlisle United by their local newspaper the News & Star.
He is based in the Lake District so a move to the Cumbrian club would significantly reduce his commute, so they would seem a highly plausible destination.