The petition highlights fears the area could be redeveloped. Birmingham City Council has been asked to comment.
Earlier this month, it was announced the Crown Pub, also on Station Street and the venue where Birmingham rockers Black Sabbath played their first gig would not reopen after plans to restore it fell apart.
Mr Street said he was aware of the development concerns and had written to the government to ask if The Crown could be given listed status.
He described Station Street as “just the tip of the iceberg” and said: “The closure of The Electric Cinema is a lightning rod for people’s deep concerns about the future.”
Ian Francis, who runs the Flatpack Film Festival, an annual festival which shows at venues across the city, said he had been aware The Electric’s lease had been up for renewal.
