Yuvraj Singh, another player who find himself on the sidelines, was also given an opportunity to force his way back into the ODI team after being named captain for the three-match unofficial series and lone T20 match against West Indies 'A' beginning September 15.
The squads were named by the BCCI senior selection panel which met here today.
The trio of Zaheer, Sehwag and Gambhir were not named for the first four-day game that will be held at Mysore from September 25-28.
Jammu and Kashmir all-rounder Pervez Rasool has been picked for all the three matches for the unofficial Test series.
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Yuvraj, who played his last international match in January in an ODI against England, will lead a 14-member One-Day and T20 team which has the likes of Unmukt Chand, Robin Uthappa, Yusuf Pathan, Irfan Pathan, Jaydev Unadkat and Praveen Kumar.
The selectors also picked the India Red and Blue teams for the NKP Salve Challenger one-day series, scheduled at Indore from September 26-29. Vijay Hazare Trophy champions Delhi is the third team in the fray.
Yuvraj will also captain the India Blue side in the NKP Salve Challenger Trophy while Irfan Pathan will be the skipper of the India Red team.