The 33-year-old all-rounder had already been ruled out of next year's Champions Trophy one-day international tournament in Pakistan and the preceding white-ball tour of India.
Key batter Joe Root, who preceded Stokes as Test captain, returns to the ODI side for the first time since the 2023 World Cup in India.
England captain Ben Stokes hobbled off injured as New Zealand powered 478 runs ahead in the third Test Monday on the back of an unbeaten Kane Williamson century.
The visitors won the first Test in Christchurch by eight wickets inside four days and have stuck with the same XI for the next clash starting on Friday.
Stokes has committed to England until at least 2026, covering the Ashes series in Australia, which starts late next year, while Buttler has agreed fresh terms, extending his contract by 12 months.
The hosts sealed a nine-wicket win in the third Test in Rawalpindi with Noman taking 6-42 and Sajid 4-69 in the second innings as England were bowled out for just 112.
England piled up 823-7 to thrash Pakistan by an innings on a lifeless Multan pitch in the first Test, before the hosts bounced back with a 152-run win on a recycled and turning Multan track.
Captain Ben Stokes was named in the England team for the second Test against Pakistan starting in Multan on Tuesday after recovering from a hamstring injury.
England captain Ben Stokes said Saturday he will miss the first Test against Pakistan starting next week, after failing to recover from a hamstring injury.
Stokes looked in discomfort when he took a catch to dismiss Ireland's Curtis Campher during England's 10-wicket win in the one-off test at Lord's
Archer, who has been ruled out "for the rest of the summer", spent 17 months on the sidelines following elbow and back injuries before returning to international cricket in January.
England star Ben Stokes was named the Wisden Almanack's leading men's cricketer in the world for the third time in four years on Monday.
Australia have not relinquished the famous urn since reclaiming it in 2017-18 but will face a buoyant England team who have won 10 of their last 12 tests under Stokes and head coach Brendon "Baz" McCullum
Stokes was signed by the Chennai Super Kings for an impressive fee of $1.96 million in December
"I ... believe that the Ashes is the script that the skipper is waiting to write, so he'll be sweet. I don't have any concerns," he told reporters in Wellington at the conclusion of the drawn series with New Zealand
Brendon McCullum has promised that England will keep faith with their attacking game during the Ashes despite Tuesday's extraordinary one-run loss to New Zealand in Wellington.
England captain Ben Stokes said he had no regrets about enforcing the follow-on after New Zealand defied history to claim a thrilling one-run win in the second Test in Wellington.
New Zealand were 202 for three in their second innings at stumps, needing only 24 runs to make England bat again at the Basin Reserve.
England Test captain Stokes skipped last year's IPL but was sold to Chennai Super Kings for a staggering $1.96 million in December's auction
