"We were working on the understanding and all our planning and scheduling was on the basis that the All Blacks' last match would be on December 5 to give our players and management time to get home, undertake the 14 days' quarantine back in New Zealand, and then be with their families for Christmas, as will be the case for the other three teams in the tournament," Robinson said.
"We understand the commercial considerations in the scheduling. However, the wellbeing of our people is an incredibly important factor in this also.
"We are committed to playing in the Rugby Championship and we know the scheduling of matches has been a complex and dynamic issue to work through, especially with quarantine protocols, but we haven't agreed to this schedule and are disappointed at the announcement.
"We will now work through the issues with Rugby Australia and Sanzaar and believe that there are other solutions within the Rugby Championship window."
The newly announced schedule comes after some players expressed that it will be difficult to leave their young families behind for several weeks.
All Blacks Richie Mo'unga and TJ Perenara have recently welcomed newborn babies, while Beauden Barrett and Sevu Reece are also expecting their first children in the coming weeks.
The Rugby Championship 2020 fixtures
Round One - Saturday, November 7, 2020
Suncorp Stadium, Brisbane
Argentina v South Africa
Australia v New Zealand
Round Two - Saturday, November 14
Bankwest Stadium, Sydney
New Zealand v Argentina
South Africa v Australia
Round Three - Saturday, November 21
ANZ Stadium, Sydney
New Zealand v South Africa
Australia v Argentina
Round Four – Saturday, November 28
McDonald Jones Stadium, Newcastle
Argentina v Australia
South Africa v New Zealand
Round Five – Saturday, December 5
Bankwest Stadium, Sydney
Argentina v New Zealand
Australia v South Africa
Round Six – Saturday, December 12
ANZ Stadium, Sydney
South Africa v Argentina
Australia v New Zealand