Glasgow coach Dave Rennie said it was "flattering and humbling" to have been approached to take charge of the All Blacks.
The 55-year-old Kiwi is one of a number of candidates likely to be interviewed to replace Steve Hansen who will leave his role as New Zealand head coach after Friday's World Cup third-place play-off against Wales.
"Obviously it's flattering, it's humbling because they have always been such a great side," Rennie told STV on Thursday as he confirmed the outgoing world champions had been in touch.
"Yeah, they have probably made contact with a number of Kiwis who are coaching over this way about interest for the role.
"I know they are going to have a process where they interview then make an appointment in the new year."
Rennie has previously stated he will see out his Glasgow contract, which expires in June 2020.