Ravi Shastri will continue as India head coach after beating off competition from Mike Hesson and Tom Moody.
Virat Kohli's 43rd ODI century anchored a six-wicket (DLS) win over the West Indies in a rain-affected match.
Virat Kohli scored his 42nd ODI ton as India beat West Indies on the day Chris Gayle became his side's leading ODI run-scorer.
West Indies have named uncapped all-rounder Rahkeem Cornwall in their squad for the two Tests at home to India.
Only 13 overs of play were possible before the first ODI between West Indies and India was rained off in Guyana.
Half-centuries from Virat Kohli and Rishabh Pant led India to a seven-wicket win and a T20I series sweep over West Indies.
India sealed a 22-run DLS victory over the West Indies in the second T20I in Florida as Rohit Sharma struck 67.
India edged West Indies by four wickets in low-scoring opening T20 after scraping to their target of 96 in Florida.
India have a youthful look to their side as they head to the Caribbean to take on West Indies in all formats.
Chris Gayle has been named in West Indies' squad for the ODI series at home to India after reversing his decision to retire.
MS Dhoni will miss India's white-ball tour of the West Indies in August in order to serve with his army regiment.
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