Parker's promoters, Duco Events, are seeking sponsorship and working towards hosting the 25-year-old's first world title defence in New Zealand against undefeated Brit Fury, cousin of former heavyweight champion Tyson.
But there could be a major hitch in the works for the Fury camp, with Immigration New Zealand confirming Peter would need to jump through several hoops to be granted a visa.
Peter is a convicted drugs baron who stalked Manchester's notorious underworld for decades.