Mr Wall wants to sell it to ex-Bayleys agent Robert Holden's Conrad Properties, developer of many new Hobson St and Nelson St apartment blocks.
The sultan's tower emptied out when Brookfield Multiplex lured anchor tenant the BNZ across the road to the Deloitte Centre at 80 Queen St.
Mr Wall said a new owner might consider turning the office floors into about 220 apartments.
"Apart from the New World Metro, the building is virtually empty."
A variation to the building's resource consent would be needed for the large-scale conversion but Mr Wall hoped Auckland Council would agree to this readily because its policies tried to encourage a lively CBD.
"A change like this would encourage more people to live in the CBD," Mr Wall said.