Swann is appealing in his capacity as a trustee of several trusts, although it is unclear what the grounds of the appeal are.
A High Court judge last year said Swann, while not then a trustee, had "effective control" of several trusts that administered some of the assets Swann purchased with tainted money.
Crown prosecutor Marie Grills said the appeal would be dealt with "on the papers" (without an oral hearing). She declined to comment further.
In 2009, Swann was sentenced to nine years and six months' jail for his part in pocketing nearly $17 million during frauds against the Otago District Health Board between 2000 and 2006, when he was the board's IT manager.
In related civil action, a High Court judge last year awarded the Crown a pecuniary penalty order of $6 million on its Proceeds of Crime Act application to try to recover some of the money.
The judge ordered proceeds from the sale of about $800,000 of restrained Swann property, including several properties belonging to family and other trusts, should go towards repaying the $6 million penalty order.
He also ordered $3.5 million of other Swann assets be forfeited to the Crown.
It is understood Swann subsequently became a trustee of several, or all, the trusts involved.
