The Queensland Reds coach is the odds-on favourite to succeed the Munster man after saying he would step down from his position with the Reds to fulfil his aim of coaching at international level.
He was quoted in The Daily Telegraph in Sydney as saying that the Ireland post is "the type of job I'm interested in".
"I have had no discussions with Ireland, I haven't heard anything from them. They haven't contacted me and I haven't contacted them. I have heard nothing in that space, I've only read things in the media," McKenzie added
"I have said I am looking for coaching challenges at the next level, and I am looking for whatever the possibilities are. It's the type of job I am interested in looking at, but there have been no discussions."
Kidney's five-year reign came to an end on Tuesday, leaving the National Team Review Group with the tough task of finding a replacement.
Ireland's backs coach Les Kiss has been appointed interim coach for the summer tour in June.