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Vicelich, 36, was a standout performer for the Oceania champions during their brief showing in Japan and joins a star-studded cast that includes Chelsea pair Juan Mata and David Luiz.
Goal.com website said: "Skipper Vicelich was a rock for his side in their playoff loss to Sanfrecce Hiroshima, and was especially adept at clearing crosses sent in by the Japanese side throughout the match.
"His late header almost drew City even, and overall the New Zealand international's performance was representative of the progress the side have made since last year's CWC."
Tournament golden glove winner Cassio nabbed the goalkeeper slot with Corinthians team-mates Allessandro and Chicao joining Vicelich and David Luiz in the best XI's defence.
Corinthians won the Fifa club World Cup title by beating Chelsea 1-0 in the final in Yokohama on Sunday.
Auckland City were eliminated by Sanfrecce Hiroshima on December 6.
Team: Cassio (GK) (Corinthians), Allesandro (Corinthians), Chicao (Corinthians), Ivan Vicelich (Auckland City FC), David Luiz (Chelsea), Juan Mata (Chelsea), Yoji Takahgi (Sanfrecce Hiroshima), Lee Keon-Ho (Ulsan Hyundai), Abourtrika (Al-Ahly), Guerrero (Corinthians), Cesar Delgado (Monterrey)