Barrett was also named in the June training squad but has made way for Dan Carter and Aaron Cruden, with Foster saying it was ideal opportunity to give him a refresher course in the All Blacks' methods.
"It was a chance to give him a couple of days early in our camp to keep it fresh in his mind what we're doing. With Clarkey I think it's just a chance to keep looking at his knee, to get another assessment on it."
Clarke will be boosted by the inclusion. It is the first time he has been involved with the All Blacks and it suggests that he has overtaken Jarrad Hoeata in the selectors' minds.
For backs' coach Foster, one major loose end has been tidied up with the announcement that second-five Sonny Bill Williams has been cleared by his new Japanese club Panasonic to play for the next two games.
"When you know there's going to be a few complications you just sit back and relax a bit so we've just been waiting. But the fact that he's here training today and was here last night is fantastic, we've got a full week's preparation.
"He's pretty excited, it was part of why it was an easy decision to make [to include him]. He reached good levels in June and I'm sure he wants to do that in the next two weeks."
One of the selectors' most difficult decisions will be on the left wing, with Julian Savea, Hosea Gear and Ben Smith vying for the position. Cory Jane, now free from his ankle injury, is likely to be named on the right wing.