Sports Minister Tracey Crouch said in Parliament earlier this week when asked to look at Coventry City's plight, that football authorities needed "to come together to try and sort this out".
This came after Coventry MP Jim Cunningham called for an "eminent figure" to be brought in to resolve disputes around the side.
A deal allowing the club to play at the Ricoh Arena expires at the end of next season.
Talks to reach an agreement have broken down, the team is currently bottom of its league and fans have called on owners Sisu to sell it.
Concerns have also been raised over where the team will play home matches for the 2018/19 season after landlords Wasps, who also play at the Ricoh Arena, pulled out of talks about extending their lease amid a threat of legal action from Sisu.
Crouch suggested a mediator could be brought in to try and secure the future of the crisis-hit Club and she said she would consider appointing one as it was not a matter for the government to intervene on.
Mr Cunningham, MP for Coventry South, who called for Tuesday's parliamentary debate where he made the call for a mediator, said Coventry City fans had been "very constructive" and would welcome the appointment.
"This has been going on for five or six years and something has got to be done about it," he said.