Skipper Kane Williamson, Mitchell Santner, Kyle Jamieson and physio Tommy Simsek will be travelling to England from Maldives where they are serving quarantine.
The Australian contingent has also flown to Maldives after the suspension of the IPL as its government has banned entry of all travellers from India until May 15.
Warner, on Saturday, was replaced by Williamson as the Hyderabad outfit announced a change in captaincy midway through the season.
Having won just one game so far, the Hyderabad outfit is languishing at the bottom of the points table.
Sunrisers Hyderabad will take on formidable Mumbai Indians on Saturday.
The New Zealand skipper would have been a perfect fit for SRH's middle-order hence solving their long-standing issue pertaining to that portion of the batting lineup.
New Zealand captain Kane Williamson, pacers Trent Boult and Kyle Jamieson are among the 10 Black Caps players taking part in the IPL beginning on Friday.
Sunrisers Hyderabad captain David Warner and Kane Williamson landed in Chennai on Friday ahead of the 2021 edition of the Indian Premier League.
Williamson has a small tear in his left elbow tendon that requires immediate treatment, New Zealand Cricket medical manager Dayle Shackel said in a statement.
The IPL is likely to start in the second week of April and its knock-out matches may happen in early June.
Arriving in Australia only as a net bowler, Natarajan became the first Indian cricketer to make his international debut across all three formats during the same tour.
Williamson said the Indian team must have "got a huge buzz out of" the memorable win in the series-deciding fourth Test at Brisbane
New Zealand have qualified for the final with 70 percentage points after Australia decided to indefinitely postpone their away series against South Africa in the wake of a fresh surge of COVID-19 cases there.
Williamson's 238, along with 157 from Henry Nicholls and unbeaten 102 from Daryl Mitchell, helped the Black Caps declare their first innings on 659/6 in reply to Pakistan's 297.
The 30-year-old Kiwi skipper took 364 balls to score a 238-run innings before falling to Faheem Ashraf as hosts' sixth wicket.
Williamson has now scored a ton in every Test he has played this summer.
On Day Two of the Test match, Williamson batted in his classic fashion to ease to his 24th Test century.
Following his stellar batting show at the Bay Oval, Williamson gained 13 rating points to pip Smith in the list.
Williamson-led New Zealand defeated Pakistan by 101 runs to take a 1-0 lead in the two-Test series.
Williamson led the way with a masterful 129 on the second day as New Zealand put up a total 431 despite being 13/2 in the first 11 overs.
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