And a series of photos posted on the Facebook site of the 'SOS – Save Our Shirehall' group underlines the spectacular panorama offered from the upper storeys over the surrounding town and countryside.
The Shirehall is the home of Shropshire Council which has begun moves to switch back to the centre of Shrewsbury at a new base at Pride Hill.
If and when the council does move out, the building is probably going to be knocked down as Historic England doesn't think the Shirehall is of enough architectural or historical merit to be given listed status, which would have given it some protection against demolition.
The SOS group is made up of enthusiasts who appreciate the Shirehall and its "striking yet considerate architecture" and want to see it continues "to delight and serve local needs for public and staff."
One of the site's recent posts includes a series of pictures taken from the building and the accompanying comment: "Now we know the Shirehall isn't all about the views from the 5th Floor – however, they are kind of spectacular!
"What other office building in Shrewsbury gives you 360 degree views of the town and surrounding Shropshire landscape... Not many, if any, except Shirehall.
"The future looks bleak for council employees if the Pride Hill Centre goes ahead, say goodbye to views like this, there aren't even any windows in the Pride Hill.
"SOS firmly believe that the best outcome for all is for Shirehall to remain the centre of Shropshire's local government activity and thus, staff are able to enjoy outstanding views from their desks. Looking out at the stunning Shropshire landscape really does help brighten the working day, especially when the sun is shining."