The fastest way fans can secure a visa is by applying for one online on the New Zealand Immigration Website. However, to activate the visa, they usually would have to send their passport to the nearest embassy, located in Washington D.C.
Piercey says Immigration New Zealand are exploring a different avenue.
"We are exploring the feasibility of waiving the requirement for fans to have to send their passport to our Washington office to speed up the process."
Peru qualified for the playoff against the All Whites on Wednesday after a 1-1 draw with Colombia.
Chile, who lost 3-0 to Brazil and missed out on qualification, are a part of the visa waiver program.
Had Chile scored one goal against Brazil, they would have climbed into the playoff spot to play the All Whites.
Sixty countries are a part of the visa waiver program, which first began in 1986.
El Commercio reported that official records showed around 450 Peruvians currently residing in New Zealand.
"We are not many Peruvians here but the enthusiasm is high," Patricia Rodríguez, a Peruvian who lives in Christchurch told the newspaper.
"We are already on the waiting list so we can buy tickets."
Ms Rodriguez said local Peruvians were really excited. "We're all getting organised to go to Wellington. What's more, several Peruvians living in Australia are also thinking of coming from Melbourne, Gold Coast and Sydney. You do not know the emotion and love for the shirt you breathe here, " she said.
"Having the team playing across the Pacific Ocean is mind-boggling. I would never have thought to be encouraging the selection from the other side of the planet."
