Tew confirmed earlier this week that the All Blacks wanted Schmidt to replace Wayne Smith as Steve Hansen's assistant in the summer of 2017.
Foster has been Hansen's assistant since late 2011 and knows the All Blacks' set-up inside out, a major asset in an organisation that values continuity.
The All Blacks now hold all the major trophies we play for, he played a critical role in the back-to-back-Rugby World Cup victories in 2011 and 2015, and we wish him and the team all the very best for next year's campaign.
Hansen has overseen the All Blacks during a period of unprecedented success, with just eight losses in his 96 Tests in charge. With typically laconic wit, he said he has also made the decision public to stop reporters asking him about it "every five minutes".
"After being involved in the All Blacks for 16 years, I do feel it's right for the team for me to stand down", he said.
"As only people who have done the job will understand, there are not only heavy demands on yourself, but also on your family", 59-year-old Hansen explained.
"I am sure all our nominees would like to thank their respective teams for their support and for providing the platform on which they can perform".
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"Fresh eyes, fresh thinking and I think that will be great in the enhancement of the legacy of the team".
"I'm highly motivated by that, as is the whole group, and we're really looking forward to it", Hansen said.
Whether it would be his last achievement with New Zealand Rugby remains to be seen, with speculation of an advisory role when his coaching tenure ends.
"It's probably going to be the toughest World Cup from a competitive point of view", he said.
Robertson is regarded as a definite prospect to one day coach the All Blacks but, at 44, is in no hurry to pursue the job, saying he still has plenty to learn.
Hansen did defend Foster on Friday against media assertions he lacks the experience or record to become All Blacks head coach.
Schmidt's achievements with Ireland include three Six Nations titles including a Grand Slam this year, the wins over New Zealand and a series success in Australia. He had previously seemed to rule out a bid for the role but said this week that "you never say never".