Mr Moss offered to contribute the same amount again if the supporters trust donated its £300,000 to the club.
He also offered the trust representation on the directors' board in exchange for the money, in the form of trust president Arfon Griffiths.
The trust has said it would only be willing to hand over the money in return for shares in Wrexham FC.
Trust member Lindsay Jones, speaking to the Evening Leader earlier this week, pointed out the organisation had already donated £105,000.
On Monday Mr Moss said he would be investing more of his time in the club after selling luxury travel firm Elegant Resorts to Thomas Cook for an undisclosed sum.
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