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The 40-run win over the West Indies at the Providence Stadium in Georgetown on Saturday was their second success in six Tests in the 2023-25 cycle and moved them up to fifth in the standings.
England will visit India in January next year to play five Twenty20 Internationals and three One-Day Internationals.
The 36-year-old Rohit was part of India's 2007 T20 World Cup victory, but he counts the 50-over showpiece as the real stuff.
The defeat leaves New Zealand with only one win in 24 Tests against their neighbours this century ahead of the second and final match in the series in Christchurch starting on Friday.
Wagner was picked in the squad for the two home Tests against Pat Cummins's Australia but was told by head coach Gary Stead he would not play in either match.
New Zealand consolidated their position at the top of the World Test Championship standings with 36 points and a winning percentage of 75.
The hosts knocked off the target in 6.4 overs to triumph inside three days.
Butcher feels the ICC could have focussed on other relevant issues to secure the future of Test cricket instead of introducing the WTC.
It must be accepted that Test cricket is facing imminent danger of extinction. It will need concerted efforts of the ICC and all cricket boards to prevent this from taking place.
Rohit Sharma's men were also fined of 10 per cent of their match fees.
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