Homes and shops hope
Local councillor Tim Ball (Lib Dem, Twerton) said he would like to see the land used for housing and shopping.
The ground occupies a key plot of land just off Twerton High Street.
Mr Ball, who is also B&NES Council cabinet member for homes and planning, said: "Bath City have been at Twerton Park for a long time and are part of the community but we realise that them being a neighbour may be coming to and end.
"If the Bath City Football Club site becomes available, then it leaves an opportunity for a makeover of the High Street and the land behind it. A mixed use of housing and shopping would be the ideal solution but this is in the hands of the football club at the moment.
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"We are talking with the club and ultimately would like to survey the residents before coming to any fixed viewpoints."