Marsh had been scheduled to play for Lord's-based Middlesex last season but that decision was cancelled following the impact of the coronavirus pandemic.
The 29-year-old Marsh suffered an ankle injury in the opening match of the Indian Premier League in September and has been out of action since then.
Marsh was bowling his first over during SRH’s first game against Royal Challengers Bangalore on Monday, but twisted his ankle while bowling his second ball after attempting to block a drive from RCB’s Aaron Finch.
Smith missed Australia's 19-run win in the first of a three-match series against world champions England after being hit on the head by a throw-down from a member of the tourists' coaching staff while batting in the nets on Thursday.
England vs Australia: Josh Hazlewood stars as visitors beat Eoin Morgan and Co in first ODI to take 1-0 lead in series
Needing a record chase at Old Trafford of 295 to win, England was reduced to 13-2 by Hazlewood and then 57-4 when legspinner Adam Zampa took two of his four wickets.
Australia vs New Zealand: David Warner, bowlers headline hosts' clinical win in first ODI in spectator-less Sydney Cricket Ground
Australia beat New Zealand by 71 runs in the first one-day international in front of 48,000 empty seats at the Sydney Cricket Ground on Friday as precautions to prevent the spread of the coronavirus hit home Down Under.
Australia vs New Zealand, highlights, 1st ODI in Sydney, Full Cricket Score: Hosts hand Kiwis 71-run defeat in opening game
Follow the live scorecard and ball-by-ball commentary from the first one-day international between Australia and New Zealand in Sydney on our live blog.
All-rounder Mitchell Marsh eyes Australia return after recovering from wrist injury, says he's enjoying leading Perth Scorchers in BBL
Australian all-rounder Mitchell Marsh, who has recovered from a wrist injury, on Friday said he's enjoying his Big Bash League stint and looking forward to returning to the national side.
IPL 2020 Auction: Australian pacer Pat Cummins becomes most expensive foreign player ever; Kings XI Punjab snap up Glenn Maxwell
Seven overseas players - Pat Cummins, Josh Hazlewood, Chris Lynn, Mitchell Marsh, Glenn Maxwell, Dale Steyn, and Angelo Mathews — opted to be slotted in the highest bracket (Rs 2 crore)
IPL 2020 Auction: From Glenn Maxwell to Robin Uthappa, full list of 332 players along with their base prices
The IPL 2020 player auction list is out with a total of 332 cricketers set to go under the hammer in Kolkata on 19 December.
Australia all-rounder Mitchell Marsh to miss opening Test against Pakistan after punching wall and fracturing right hand
Mitchell Marsh is set to miss the opening Test against Pakistan after fracturing his right hand punching a wall, with Australian coach Justin Langer branding him an idiot.
Australia's Mitchell Marsh injures bowling hand after punching dressing room wall during Sheffield Shield match
Australian Mitchell Marsh was nervously waiting on Monday to see how badly he has hurt his bowling hand after punching a dressing room wall in frustration during a weekend Sheffield Shield game.
Smith had started the series in the fourth position with 857 points before his surge in the rankings that came courtesy 774 runs in four Tests
Ashes 2019: Ben Stokes, Joe Denly partnership powers England to commanding lead over Australia in fifth test
With two full days of play to come and the weather in London set fair, England, on 313-8 in their second innings, appear certain to pull level at 2-2 barring a miraculous fightback from Australia
Ashes 2019: Jos Buttler leads England's fightback on opening day of fifth Test following batting collapse
Buttler, who struggled early on, dipped into his white-ball playbook, smashing paceman Josh Hazlewood for successive sixes as Jack Leach dug in at the other end. Buttler ended the day 64 not out, while Leach was unbeaten on 10 but England will need to add runs on Friday on what looks like a good pitch for batting.
All-rounder Mitchell Marsh has been recalled to the 12-man squad in place of Travis Head to ease the workload on Australia's impressive pace attack.
Ashes 2019: Australian selector Trevor Hohns says Mitchell Marsh is 'good' option for fourth Test after his performance in tour match
Marsh top-scored with 74 in Australia's 338-5 declared against Derbyshire and then took two wickets in three balls as Derbyshire were skittled out for 112
Ashes 2019: Glenn Maxwell, Marcus Stoinis likely to miss series after not being included in 25 player squad for intra-Australia match
After a lean performance in the World Cup, both Maxwell and Stoinis have been excluded for an intra-Australia match which will decide the Ashes squad
ICC Cricket World Cup 2019: Australia coach Justin Langer says confidence of team is high despite injuries to key players
Justin Langer has said that his team will cope without the injured players because the unit is very adaptable and the replacements are in good form
ICC Cricket World Cup 2019: Australia bring in Matthew Wade, Mitchell Marsh as cover for injured Usman Khawaja, Marcus Stoinis
Australia's injury list grew in the final league game defeat to South Africa with Usman Khawaja and Marcus Stoinis picking up hamstring and side strain concerns.