His protest is in a letter to The Sun-Herald newspaper.
He has argued none of the DNA evidence found by police at the murder scenes matches and there are discrepancies in the court's finding whether he acted alone of had help.
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Milat has exhausted all avenues of appeal and in January gnawed the little finger off his left hand and addressed it to the High Court's Chief Justice Robert French.
The former roadworker is serving seven life sentences for murdering seven backpackers in the Belanglo State Forest south-west of Sydney between 1989 and 1992.
New South Wales Corrective Services Commissioner Ron Woodham told The Sun-Herald that Milat's appeals are obscene because he has shown no mercy to his victims.
