A campaign to save HMS Plymouth from the scrapyard has attracted more than 800 signatures on the government's Downing Street website.
HMS Plymouth was decommissioned in 1988
It had been hoped the Falklands warship could be brought back to its home port, but the offer of a berth at Millbay Docks was withdrawn.
The HMS Plymouth Association wants the ship brought to Plymouth for the 25th anniversary of the Falklands conflict.
The ship is currently moored at Birkenhead on Merseyside.
The Type-12, Rothesay class anti-submarine frigate played a major part in the Falklands conflict and survived several direct hits from Argentine aircraft.
HMS Plymouth was built at Devonport Dockyard and launched in July 1959. It was decommissioned in 1988 after almost 30 years in service.
When it was put on display in at Plymouth's Millbay Docks in 1989, it attracted 88,000 visitors.