During the trial in December, over twenty prosecution witnesses appeared but Justice Andre Wiltens dismissed the charges.
Mr Salwai, along with former agriculture minister Matai Seremaiah, former health minister Jerome Ludvaune, and former Tafea Outer Islands MP Tom Kerr have confirmed receiving Appeal Court notices.
They will re-appear in court on 8 February.
The original hearing followed complaints from former opposition leader, now deputy prime minister, Ishmael Kalsakau.
