The Post Office in Russell Square, Madeley, will shut next October after the operator resigned.
The change.org petition, called Save Madeley Post Office, was started by June Campbell, who said the branch was busy, profitable and offered vital banking services.
The Post Office said it was committed to keeping the post office in the area, and was looking for a retailer to take over services.
Any retailer interested in incorporating a Post Office in their premises should email ND.firstname.lastname@example.org or call 0333 345 5560.
The vacancy will soon be advertised on runapostoffice.co.uk
To sign the petition visit bit.ly/2MioRys