But they have distanced themselves from interested buyers with the initial enquiries being handled by a man called Will.
Attempts to speak to him have been unsuccessful.
There have been more than 3000 views of the property online.
According to property records the home is owned by Bain's wife, Liz Davies.
The advertisement says the unit was fully renovated 10 years ago but recently painted throughout with new carpet, driveway and paths.
Bain was convicted of murdering his parents and three siblings more than 20 years ago. He served 13 years in prison before the Privy Council quashed his convictions and he was acquitted in a retrial in 2009.
Bain married Davies in 2014 and settled in Christchurch; they met some 10 years earlier.
The six-figure, ex-gratia payment came after a report by retired Australian judge Ian Callinan QC that found Bain had not proven he was more probably innocent than guilty of the murdering his parents and siblings in their Dunedin home in June 1994.
The payment was not compensation but offered solely to avoid further litigation and costs to the Crown.