Moss took a controlling share in 2008 amid plans to develop nearby land for the Wrexham Village scheme that is aimed at securing the club's future.
Businessman Moss said: "If somebody comes along with the right offer... then we would be interested."
A statement on the Wrexham Supporters Trust read: "Whilst the club is currently wholly owned by Wrexham Village Ltd and remains financially dependent on its financial support, we believe that the club can now be separated from the group, debt free, if so desired.
"In response to our enquiry we were informed that the club was for sale and that we (WST) could acquire it from Wrexham Village.
The club is a heavily loss-making business. Large parts of the ground are ageing and our support is declining in relation to a pretty grim product on the pitch
Wrexham Supporters Trust statement
"Wrexham Village briefly stated two options: WST to acquire the football club for a pound. Or WST to acquire the football club and ground for £2m.
"We agreed to meet again with the Village to discuss these options in more detail."
The WST statement went on: "How we value the club in cash terms has yet to be decided.
"The club is a heavily loss-making business. Large parts of the ground are ageing and our support is declining in relation to a pretty grim product on the pitch. Turnover is down and our [Wrexham FC's] losses are up.
"The board have discussed the basis of a WST bid and have agreed that we can only purchase a club that is sustainable in the longer term and to that end several friends of the Society are working on a business plan to support this.
"At this stage, that is all we can say with any degree of certainty."
Moss told BBC Sport Wales: "The Wrexham Supporters Trust have always wanted to either buy or buy a share in the football club.
"Ian Roberts [Wrexham chairman] had a very brief, confidential conversation with them when they asked about it and said we would get together at some stage to see whether that could be developed or not on both sides.
"So we're very disappointed that that conversation - after it was agreed would remain confidential for the time being - has been made public.
You're not a Wrexham fan until you have a squeaky bum, it's part of the excitement
itsinthestand
"And that's really all I can say at the moment."
Asked if there has been any other interest in the club, Moss replied: "Yes, there has been, but I'm not prepared to quote any further on that at the present moment."
In 2006 Wrexham was rescued from financial problems when a consortium led by businessman Neville Dickens took over.
Moss took the reins two years later and earlier this year he did a deal to bring Welsh Super League club Crusaders to the Racecourse from Bridgend.
Crusaders head coach Brian Noble recently pleaded for more investment to be put into his team as they bid for a place in the Super League play-offs.
Source: BBC Sport
Source: BBC Sport