Alex Carey scored 63 and Beau Webster 60 as Australia were bowled out for 286. West Indies pacer Alzarri Joseph took 4 wickets for 61 runs on Day 1 of the second Test.
Hazlewood was initially named in the squad for South Africa, will also return home following the Test series. Xavier Bartlett has been drafted in as his replacement.
Starc was bought by KKR ahead of IPL 2018 but an injury had ruled him out of that season.
South Africa beat Australia by five wickets to win World Test Championship
Ashwell Prince, South Africa's batting coach, labelled Aiden Markram as the "man for the big occasion" after the opener steered the Proteas towards what could be a famous run-chase in the ICC World Test Championship final against Australia on Friday.
Australia took the upper hand in the World Test Championship final against South Africa at Lord's, ending day two on 144-8 in their second innings with a lead of 218 runs after wickets tumbled freely again on Thursday.
There were some magical moments in the field from both teams that brought fans and franchise owners to their feet.
Starc dismantled SRH's top order with sheer pace, while Kuldeep's control in the middle overs ensured there was no way back for the batting side.
Starc's last outing in the IPL was with Royal Challengers Bangalore, the only he has represented in the competition till date.
Axar Patel was thrilled with his team's clinical performance, highlighting the importance of executing their plans in a dominant seven-wicket victory over Sunrisers Hyderabad
'Four games don't make him a bad bowler'
Pacer Mitchell Starc was adjudged player of the match for his sensational bowling up front when he claimed the scalps of Travis Head, Nitish Reddy and Shahbaz Ahmed in the powerplay.
On Thursday, intensified shelling along the Line of Control and reports of drone and missile activity triggered anxiety across IPL camps.
As he gears up to surpass legendary Dennis Lillee in the tally of Test wicket-takers for Australia, pacer Mitchell Starc opened up on strong words from his former head coach Tim Nielsen that paved way for his durability and said that it would be humbling to surpass the Aussie icon in wicket-taking charts.
Pietersen doubled down on his criticism, calling out the Proteas for going into a shell rather than trying to wrest back momentum.
While MI's win will assure them of a place in the play-offs, Delhi Capitals need to win both their remaining games to advance.
KKR's most successful leader Gautam Gambhir is back in his second innings as a mentor. His partnership with head coach Chandrakant Pandit, a shrewd tactician in domestic circuit, will be the key to their revival.
Former No. 1-ranked Test batter Marnus Labuschagne will be pushed up in the order to open alongside Usman Khawaja.
With South Africa's seam attack featuring Kagiso Rabada, Lungi Ngidi, and Marco Jansen and Australia having Pat Cummins, Mitchell Starc, and the ever-dependable Josh Hazlewood in their lineup, the battle between the two sides' fast bowlers is likely to be critical in determining the outcome of the World Test Championship final, as per ICC website.
Starc, who is carrying niggles since the Ashes and was rested for Australia's last league match of the World Cup against Bangladesh, was seen training with teammates during Monday's optional session ahead of the Thursday's semi-final.
'You have to move ahead with whatever (players) you have and ensure they perform.'
"Bowlers were going to be a hot property," says De Villiers on Starc's historic bid
Steve Smith might be taking a wee bit more time to adjust to sub-continental tracks but his poor returns in the first two ODIs against India is least of concern for the Australian team management, senior speedster Mitchell Starc said on Tuesday.
Delhi Capitals pulled off a thrilling win via the Super Over against Rajasthan Royals, courtesy a Mitchell Starc masterpiece.
But the hosts will be a confident group as star batter Virat Kohli made a return to run-making ways after an all too brief blip.
Change will be a key theme for both the West Indies and Australia in their upcoming three-Test series in the Caribbean with the visitors set to field a remodelled batting line-up and the hosts being led out for the first time by Roston Chase.
Shaken by the abrupt suspension of their previous match due to the India-Pakistan conflict, a struggling Delhi Capitals will look to regroup and address bowling concerns when they face table-toppers Gujarat Titans in a reverse-leg IPL clash in Delhi on Sunday to keep their play-off hopes alive.
Delhi Capitals annihilated Lucknow Super Giants by eight wickets in an IPL match in Lucknow on Tuesday.
Former England captain Kevin Pietersen on Saturday rated Protea opener Aiden Markram's measured hundred against Australia in the World Test Championship final as the "best innings" by a South African batter in Test matches.
Australia will have to dust off the cobwebs but are still fancied to successfully defend their World Test Championship crown against equally ring-rusty South Africa in the final at Lord's.
Speaking ahead of the first Test from June 25 onwards at Barbados, Joseph said as quoted by Sydney Morning Herald, "To take 13 wickets across the series was a good feeling. A lot has changed. There were a lot of opportunities that came my way."
Delhi Capitals skipper Axar Patel would like to quickly forget the underwhelming performances of his side in home conditions and get their stuttering campaign back on track when they take on Sunrisers Hyderabad, who are teetering on the edge of elimination, in the IPL match in Hyderabad on Monday.
Former No. 1-ranked Test batter Marnus Labuschagne and Usman Khawaja would open the innings for Australia in the WTC final against South Africa while the fit-again Cameron Green would bat at the No. 3 position.
Australia's batting maestro Steve Smith provided an update on the injury he sustained on his finger during their World Test Championship final defeat against South Africa at Lord's.
Cummins, who skipped the IPL last season, was also the most expensive buy in the 2020 IPL Auction.
Limping Bavuma, Markram lead South Africa to brink of history.
The spotlight in the World Test Championship Final is on the electrifying duel between Australia's batting mainstay Steve Smith and South Africa's pace spearhead Kagiso Rabada.
Mukesh Kumar will be hoping that this dream IPL campaign can pave the way for his return to the Indian team. His control, clever variations, and mental resilience have made him one of Delhi's go-to bowlers this season.
'If you look at their squad, with Cameron Green coming in, they have their biggest headache sorted. The middle muddle is sorted. They will have to sort out their bowling.'
Images from the IPL 2025 match between Delhi Capitals and Sunrisers Hyderabad in Visakhapatnam on Sunday.