Strong winds caused huge damage to properties situated above businesses on Station Road in Stechford.
Pictures from the scene show the roof draped over the front of a beauty salon and down to the pavement.
Local resident David Duffy, who photographed the property, said the roof "opened up like a tin".
He said: "The weather last night in Stechford was really bad.
"The roof looks peeled back to front about three shops long."
West Midlands Police also confirmed officers went to the property in Stechford on Station Road earlier today.
Storm Arwen left 33,000 homes without power, as well as road closures and train cancellations on Saturday.
Snow also fell in the region with the Met Office issuing an hour-by-hour forecast.
While temperatures will "feel as cold as -7°C" overnight, the Met Office warned.
The Met Office described Saturday's conditions as "windy and very cold, with rain, sleet and snow easing."
It said: "Most of any snow will be over the hills, but some is possible at lower elevations too.
Strong northerly winds will make it feel very cold. Maximum temperature 5°C."
While it said tonight would be "generally dry this evening and overnight, with lengthy clear periods, especially further west."
There is also a 40% chance of snow falling again on Sunday.