He kicked 21 points and had a hand in three of New Zealand's six tries.
Carter has suffered from injury before, most notably when his 2011 World Cup campaign was cut short, but the All Blacks went on to lift the Webb Ellis Trophy despite losing him during the competition's pool stages.
Cruden started in the semi-final victory over Australia in Auckland, and then started the final against France before he was forced off just before half-time by a knee problem.
Wales suffered disruption to their plans when wing George North withdrew from the side on Thursday with a hip injury.
Leigh Halfpenny; Alex Cuthbert, Jonathan Davies, Jamie Roberts, Liam Williams; Rhys Priestland, Mike Phillips; Paul James, Matthew Rees, Aaron Jarvis, Bradley Davies, Luke Charteris, Ryan Jones, Sam Warburton (captain), Toby Faletau.
Ken Owens, Gethin Jenkins, Scott Andrews, Aaron Shingler, Justin Tipuric, Tavis Knoyle, James Hook, Scott Williams.
Israel Dagg; Cory Jane, Conrad Smith, Ma'a Nonu, Julian Savea; Aaron Cruden, Aaron Smith; Tony Woodcock, Andrew Hore, Owen Franks, Luke Romano, Sam Whitelock, Liam Messam, Richie McCaw (captain), Kieran Read.
Dane Coles, Wyatt Crockett, Charlie Faumuina, Brodie Retallick, Victor Vito, Piri Weepu, Beauden Barrett, Ben Smith.
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