The man entered the property in Tweedsmuir Road, Perth, some time between 6.30pm and 7.20pm on Saturday November 20 and carried out several acts of vandalism, including ripping out various fixtures and fittings.
He ran off when challenged by a neighbour and was seen running down Tummel Road before being lost from view on Rannoch Road.
Police are working to trace the man who was carrying an item, possibly a metal pole, and was wearing a face mask.
He was about five foot eight inches tall, slim, aged between 30 and 40 and was wearing a two-tone grey/dark grey jacket with a hood up and tracksuit bottoms.
A police spokesperson said: “We would particularly like to hear from anyone in the Tweedsmuir Road/Tummel Road/Rannoch Road area who has private CCTV that may have captured footage of this individual.
“He may have also been seen elsewhere in the Letham area, possibly with his hood down and mask removed.
“If you have any information that could assist our investigation, please call 101 or speak to any police officer.
“Also, information may be given anonymously through CrimeStoppers on 0800 555 111. Our reference is incident 3224 of 20th November.”