Zampa bowled 10 wicketless overs for 113 – equalling the worst figures in an ODI, held by fellow Australian Mick Lewis – as Heinrich Klaasen propelled South Africa to their third-highest total.
Klaasen smashed 174 of just 83 balls as the hosts posted 416-5 at Centurion to level the five-match series 2-2, having lost the opening two.
Of greater concern for Australia will be the injury to opener Head, who retired hurt three balls after being hit on the left hand by Gerald Coetzee.
Australia coach Andrew McDonald confirmed x-rays had shown a fracture with the World Cup just three weeks away.
McDonald said: “He’s going to go in for some more scans tomorrow to work out the detail of (the injury) and then we’ll work out the management from there. How long that (recovery) time frame is, we’re yet to determine.”
Australia already have injury concerns over Pat Cummins, Steve Smith, Mitchell Starc and Glenn Maxwell, while Cameron Green was concussed in the first game of the series.
Klaasen described his assault, which included 13 fours and 13 sixes, as “one of my better ones”.
He was caught on the boundary off the final ball of the innings, ending a stand of 222 with David Miller who smashed an unbeaten 82 from 45. Rassie van der Dussen also hit 65.
Michael Neser was the only Australian bowler to go for under seven runs an over, Zampa conceding nine of the 20 sixes hit by the hosts
Australia’s reply never really got going, wicketkeeper Alex Carey the only batter to face more than 25 balls but he was last man out for 99 as Australia were dismissed for 252.
The defending champions will need to bat brilliantly to avoid a third defeat in four games after watching a powerful Proteas line-up run riot after being put in by Jos Buttler at the Wankhede Stadium.
A revamped England side looked devoid of ideas in stifling humidity as their opponents brutalised them in the closing stages, taking 143 from a punishing last 10 overs.
Klaasen was in brutal mood, hammering a 61-ball ton and finishing with 109 in 67, while Marco Jansen made an unbeaten 75 from 42.
In all there were 13 sixes and 38 fours across the innings, which should have ended with England shipping 400 for the first time in their history only for South Africa to decline a second run off the final ball.
England’s previous worst day in the field came eight years ago at the Oval, where New Zealand hit 398 for five, and their have only ever been five bigger totals on the World Cup stage.
To win, and keep their ailing title defence alive, England will need to produce the third highest chase ever seen in one-day cricket.
The Guyana Amazon Warriors won the toss and chose to field, yet the Kings got off to a blistering start, racing to 77-0 in the powerplay before being held back by spinners Imran Tahir and Tabraiz Shamsi. The Kings finished on 161-7, with Johnson Charles batting throughout the whole innings and scoring a superb 87 off just 59 balls.
Despite losing early wicket, Guyana Amazon Warriors navigated their chase through Shimron Hetmyer and Heinrich Klaasen, who built a 66-run partnership. Klaasen would go on to score a sublime 61 from 46 balls to take Amazon Warriors to their first win of the season with ten balls to spare.
Saint Lucia Kings got off to a dream start, Charles combining with Faf du Plessis to reach 77-0 after six overs, the highest powerplay score of the season so far. Yet Shamsi and Tahir highlighted their quality by restricting runs and picking up wickets that held up scoring for the Kings. Tim David launched a late counter-attack, but it was Keemo Paul who shone with the ball in the final over, picking up two wickets and giving away just four runs, which saw the Kings end on 161-7 after 20 overs.
Guyana Amazon Warriors started their chase with intent, Chandrapaul Hemraj scoring five boundaries before being dismissed in the 4th over, with fellow opener Shai Hope being caught two balls later. Nevertheless, Hetmyer and Klaasen worked together to score runs and keep the Warriors close to their target. Despite Hetmyer losing his wicket, Klaasen would bat through to the end, and supported by Keemo Paul, managed to get his side across the line with ten balls remaining.
The win means Amazon Warriors have registered their first victory of the season, while Saint Lucia Kings have suffered their second successive loss.
Saturday's match went right to the wire with South Africa requiring 16 runs from the final over, but Hardik Pandya clinched a hat-trick with the late dismissals of David Miller and Kagiso Rabada as the Proteas lost their nerve.
Virat Kohli had earlier smashed 76 runs off 59 balls, comfortably his best score of the tournament, to help India set a daunting target of 177 – the highest ever in a men's T20 World Cup final.
Kohli's innings came to an end in the penultimate over as he swung Rabada's delivery straight to Marco Jansen at long-on, after partner Axar Patel (47) was run out by Quinton de Kock.
That knock proved to be the title clincher, though, as the India bowlers provided able support to their batsmen.
South Africa were reduced to 12-2 within the first three overs as Jasprit Bumrah sent wickets flying with a brilliant outswinger to beat Reeza Hendricks (4) and Arsheep Singh had Aiden Markram (4) caught behind by Rishabh Pant.
If India thought they would be able to defend their total in comfort, however, they were mistaken.
Heinrich Klaasen slammed 52 off 27 balls with support from De Kock (39) and Tristan Stubbs (31), to take them close.
Thirty runs from as many deliveries was the target at one point, but Klaasen nicked Pandya's ball through to Pant in the 17th over and Bumrah followed up by dismissing Jansen for two.
The tail was unable to provide the heroics for South Africa, desperate final-over swings from Miller (21) and Rabada (4) going unrewarded as Pandya finished with an efficient 3-20.
Kohli picks his moment
Kohli has not been on top form throughout this tournament, 37 versus Bangladesh his best score until this point with five of his innings bringing single-digit tallies.
He stepped up when it mattered most, though, becoming just the third player to make a half-century in multiple T20 World Cup finals, having made 77 in India's 2014 loss to Sri Lanka (also Marlon Samuels and Kumar Sangakkara).
After being presented with the Man-of-the-Match award, Kohli suggested he will not play at the next edition of the tournament in 2026. If his T20I career is over, he certainly went out on a high.
Klaasen's historic knock in vain
South Africa ran India close despite being tasked with chasing the best total ever recorded in a T20 World Cup final, and that was mostly due to Klaasen's efforts.
He made his half-century in 23 balls, the fastest 50 in a T20 World Cup final. He obliterated the previous record, Mitchell Marsh's 31-ball half-century for Australia in 2021.
Long wait over for India
Most observers would agree India are fitting champions, having marked themselves out as the best team at the tournament during the last few weeks.
It is their first T20 World Cup crown since they won the inaugural edition in 2007, and they have joined England and West Indies as the only teams to triumph more than once (two titles each).
A comfortable 35-run away win over Sunrisers Hyderabad on Thursday has lifted spirits for RCB after they had fallen just one run short of reaching a big Kolkata Knight Riders total in their previous outing.
RCB remain bottom of the standings going into back-to-back matches against the Gujarat Titans, but they approach that double-header with new-found confidence after snapping a miserable six-match losing streak.
"In the last two games we have shown great signs of fight," Du Plessis said.
"The [first] SRH game we got to 260 [pursuing a big target], then the KKR game as well, just one run [short]. It was almost a record chase.
"We have been close for a while, but you need to win matches to get confidence back in the group.
"It is a massive relief. No matter where we are, when you are not winning it does affect you, it does affect you mentally, it does affect your confidence.
"I will sleep a bit easier. For the first half of the tournament only it was only Virat contributing. It is important as a batting line-up to contribute together because we have seen the scores are so big, it's never going to be just one guy scoring the runs."
Kohli still impressed against SRH, with his 51 – along with a rapid 50 off 20 balls from Rajat Patidar – helping RCB to score 206-7 after opting to bat first.
There was also a strong outing from Australia all-rounder Cameron Green, who scored 37 not out before taking 2-12 from two overs with the ball and grabbing a huge catch to dismiss SRH dangerman Heinrich Klaasen for just seven.
Du Plessis added: "The last week and a half we have been working hard to make sure we get better at our own game.
"You can see the last game; there is some confidence in our batting. We have got more guys scoring runs now. Rajat playing two really good innings back-to-back, Greeny getting runs. It is massive for him just to get that load off his shoulders.
"You can't speak confidence into the group, you can't fake confidence into the group. The only thing that gives confidence is performance.
"First half of the competition we certainly felt like we weren't near our full potential. And when you're playing at 50% or 60%, obviously, you try 100%, but you don't get the confidence in your group.
"The competition is so strong, the teams are so strong that you'll get hurt [if you are not at 100%]."
Green thought Du Plessis had taken a risk by choosing to bat first, but it was a decision that paid off.
He said: "It was [a brave call]. I definitely wasn't in agreement with [batting first] so credit to the captain and coach. SRH have been batting beautifully when they bat first - that was the main reason.
"We always have to celebrate little wins and we feel pretty good now. Always nice to be back to winning ways."
Asked about his catch to dismiss Klaasen, he added: "I think the whole time I kept thinking 'Klaasen, Klaasen' in my head!
"It was up there for a while, happy I hung on to it."
RCB are away to the Titans on Sunday, before playing at home against Shubman Gill's side on May 4.
MI Cape Town first posted a formidable 207-5 from their 20 overs after being put in to bat by the Super Giants.
Opener Ryan Rickleton hit six fours and six sixes on his way to an excellent top score of 87 from 51 balls while Pollard, who replaced the injured Rashid Khan ad Captain for the tournament, hit a brutal 31 from 14 balls including four fours and a six in the latter part of the innings.
Guyanese all-rounder Keemo Paul took 2-31 from his four overs for the Super Giants.
The chase got off to a less than impressive start as Durban lost Quinton De Kock (5) and Wiaan Milder (5) within the first three overs with 12 runs on the board.
A 40-run third wicket partnership between opener Matthew Breetzke and Paul steadied proceedings a bit before Paul fell off the bowling of English speedster Ollie Stone for 15.
His wicket brought Klaasen to the crease and he put the team on his back with a magnificent 35-ball 85 including four fours and eight massive sixes.
Breetzke ended up making 39 off 24 balls.
The wickets of those two along with Nicholas Pooran for just 11 meant that the Super Giants were 177-6 off 16.3 overs when the rains came and ended play for the day.
Thankfully for the Super Giants, the Duckworth Lewis Stern par score was 166 at the time.
South African ace Kagiso Rabada took 2-23 from three overs for MI Cape Town.
Russell's explosive innings turned the tide for Kolkata Knight Riders after a shaky start, propelling them to a formidable total of 208 for 7. After a slow start, Russell unleashed his power-hitting prowess, smashing seven sixes in his unbeaten 64 off just 25 balls. His innings proved instrumental in KKR's recovery from 123 for 6, providing the late surge that propelled them past the 200-run mark.
However, Sunrisers Hyderabad mounted a spirited chase, with Heinrich Klaasen leading the charge with a valiant innings of 63 runs. Klaasen's assault threatened to snatch victory away from KKR, but Harshit Rana's composed bowling in the final over ensured Kolkata's triumph in a last-ball thriller.
Russell took 2-25.
Sunil Narine's economical spell and crucial breakthroughs kept Sunrisers in check during the middle overs, setting the stage for Kolkata's dramatic victory. Despite a fierce fightback from Sunrisers, Kolkata Knight Riders held their nerve to secure a crucial win in the IPL.
Twin 32s from Mayank Agarwal and Abhishek Sharma provided Sunrisers with a solid start, but Russell's brilliance with both bat and ball proved decisive in Kolkata's triumph. With his explosive batting display and impactful bowling, Andre Russell emerged as the hero of the match, guiding Kolkata Knight Riders to a thrilling victory over Sunrisers Hyderabad in a contest that will be remembered for its pulsating finish.
Faf du Plessis, whose stint with Kings last year was cut short due to injury, has been retained. Namibia allrounder David Wiese and Sri Lanka batter Bhanuka Rajapaksa are also among the overseas retainees.
Kings have 12 confirmed players for the season and will have five spots to fill at the draft in July.
They have retained the core of Caribbean players, which includes Johnson Charles, Alzarri Joseph, Roston Chase, Matthew Forde and Khary Pierre. Fast bowlers Shadrack Descarte and McKenny Clarke round out their retentions.
Colin Munro, who was named du Plessis' replacement last year, has been released as have Sikandar Raza, Sean Williams and Chris Sole.
Klaasen has been in phenomenal form in T20s since 2023. He finished as the second-highest run-getter in the SA20 earlier this year and was in top form in the IPL as well with 479 runs in 16 games. His strike rate in the format since 2023 is 176.80. This will be Klaasen's second stint in the CPL, having represented Guyana Amazon Warriors in 2022 where he made 118 runs in five games.
Kings made their fourth consecutive playoffs spot in 2023 but lost in the Eliminator against Jamaica Tallawahs.
The 2024 edition of the CPL is set to run from August 30 to October 7. Kings will open their campaign against St Kitts and Nevis Patriots on September 1 in Basseterre.