The footage from Sunday, November 11, shows a man wearing a black jacket, black trousers, and white shoes at Rico's Italian restaurant in Tithebarn Street.
He walks up an internal staircase followed by walking up an external staircase when exiting the property.
A police spokesman added: "We also want to speak to the person in the CCTV in connection with a number of break-ins at other premises such as St Chads Church [in Ball Street, Poulton] which occurred recently in the early evening."
If you know who this person is, contact PC Kev Berry on [email protected]