"Kohli is the king, Shubman is the prince — that's the narrative that they spin out there, and I feel that he's the coming man," said Buttler, who stepped down as England's white-ball captain in February after their Champions Trophy exit.
England completed a series win over the West Indies with a game to spare after chasing down a target of 197 in the second T20 international in Bristol on Sunday.
England have selected five Indian Premier League players in their one-day squad to face the West Indies, including former captain Jos Buttler, but have not ruled out allowing them to skip the series.
England failed to retain their T20 and ODI World Cup crowns with Buttler at the helm and the 34-year-old stepped down as white-ball captain in February following their group-stage exit in the Champions Trophy.
England's Jos Buttler hammered an unbeaten 73 to lead Gujarat Titans to a thumping eight-wicket win over Royal Challengers Bengaluru in the Indian Premier League on Wednesday.
With Jos Buttler stepping down from the role after a disappointing Champions Trophy campaign, the search is on for England's new white-ball captain. While several names are in contention, Joe Root - the most experienced member of the squad - has ruled himself out for the role.
England cricket supremo Rob Key said on Thursday "it would be stupid" to rule Test captain Ben Stokes out of consideration for the role of skipper of the struggling white-ball team.
The 34-year-old joins India's Sachin Tendulkar and West Indian Brian Lara as players who failed to translate their many individual triumphs into success as captains.
England will have to rebuild and regain their confidence in the 50-over format after a dismal Champions Trophy campaign, out-going captain Jos Buttler said, before adding that they had enough talent to turn around their flagging fortunes.
"I think we certainly gave ourselves a chance there," Berrington said, on the prospect of an upset.
England captain Jos Buttler believes his squad will be better equipped to retain their T20 World Cup title after a miserable defence of their 50-over crown in India last year.
The 33-year-old England captain struck a match-winning 84 as the hosts took a 1-0 lead in the rain-affected four-game series with a 23-run win in Birmingham on Saturday.
England captain Jos Buttler won man-of-the-match after he smashed 84 off 51 balls to set the hosts a target of 184.
Buttler's men went to the one-day international World Cup in India in October as double world champions but lost six of their nine matches to exit with a whimper.
Injuries have blighted Archer's international career and he has not played top-level cricket for the past year.
Jos Buttler smashed an unbeaten 107 to trump Sunil Narine's first T20 century as Rajasthan Royals pulled off a joint record IPL chase against Kolkata Knight Riders off the final ball on Tuesday.
Rajasthan emerged victorious with five balls to spare, prompting further scrutiny of Kohli's approach and effectiveness in T20 cricket.
The England white-ball captain managed scores of 11, 11 and 13 in his first three matches even though 2008 champions Rajasthan kept winning.
Kohli earlier had struck the first century of this IPL season.