Woodcock has signed a two-year deal to play for the southern franchise and will be joining his All Black front row colleague Andrew Hore at the Highlanders.
Though he had met Highlanders coach Jamie Joseph only once he was impressed with what the former All Blacks loose forward had done with the franchise.
"I think from the outside looking in, I like the style they play, the way Jamie plays. He is a pretty straight-up sort of guy and what you see is what you get."
Woodcock, 31, will move his wife and two children to Dunedin for the rugby season.
"I'm excited about a new challenge, new environment. They [the Blues] were deeply disappointed with the decision but respected me that I had made it."
All Blacks assistant coach Ian Foster admitted his side will enjoy playing in a covered stadium against the Springboks after his side struggled in stormy conditions against Argentina in Wellington.
"We are really looking forward to it. It was really unfortunate last weekend in Wellington with the conditions. We love playing there too. But it is nice having the sureness of a game plan. You know what you are going to get," Foster said.
"Quite frankly the team is very, very excited about it. We've watched a lot of games down here at Super level and we can't wait to play."
Dan Carter is the only player unavailable for this Saturday because of an injured calf.
Foster said there were a few sore bodies which needed ice after Saturday's 21-5 win over Argentina but should be right for this Saturday night against the South Africans.