Mr Kivi's release came astwo Australian bloggers,Mark Firkin and Jolie King,returned home after spending more than three months detained in Iran for allegedly flying a drone over a military precinct near Jajrood in Tehran province without a permit.
The pair's release was secured as part of an apparent prisoner swap deal between the Morrison government and Tehran.
"We know there are others who remain in detention in Iran,including a fellow Australian,and believe intense media coverage may not be helpful for efforts to bring them home,"the couple said in a statement in which they requested privacy as they sought to return to their"normal lives".
The government is continuing to seek the return of a third Australian,Melbourne University lecturer Dr Kylie Moore-Gilbert,who has been in detention for a year,having reportedly been handed a 10-year sentence. The precise nature of the charges is unknown.
"We believe that the best chance of securing Kylie's safe return is through diplomatic channels,"Dr Moore-Gilbert's family said in a statement last month.