Rennie - who has made a commitment to see out the remainder of his contract at Scotstoun until the summer - has already been identified by Rugby Australia as a potential successor to Michael Chieka, who quit following the Wallabies' exit from the World Cup at the quarter-final stage.
All Blacks coach Steven Hansen will stand down at the conclusion of the tournament this weekend.
In an interview with STV, Rennie revealed he had been sounded out for the post by his fellow countrymen.
He said: "Obviously it's flattering, it's humbling. They've (New Zealand) always been such a great side.
"I guess I haven't had a lot of time to dwell on that because I'm totally focused on what I'm doing here.
"They've probably made contact with a number of Kiwis who are coaching over this way about interest for the role.
"They will have a process where they interview then make an appointment in the new year."
When asked about interest from Rugby Australia as well as New Zealand, Rennie said: "There's going to be speculation all the time when new jobs are up for grabs.
"They are naming a number of people, I guess, who are potential replacements for both of those jobs. I guess time will tell."