Rohit Sharma, who joined the team on Day 3 of the Test, was present to witness the historic win and shared a heartwarming moment with Virat Kohli, who returned to form with a brilliant century.
He added that it is amazing to watch Head, who wants to play at the peak of his powers and at the moment.
All 12 of Rohit's Test hundreds came in the winning cause for India.
Who do you think should be part of India's playing XI for the third Test against Australia in Brisbane?
'The only concern they might have is around Jasprit Bumrah's fitness and what that does to the bowling attack... that's where the main challenge lies for India.'
England batter Harry Brook has cautioned against underestimating Australia in the Ashes series, even as doubts linger over the availability of their captain and fast bowler, Pat Cummins, for the opener in Perth.
All-rounder Max Maxwell, who has been sidelined by a wrist injury, will come in for the last three games, while Test certainty Josh Hazlewood will skip the last three games.
Former Australian cricket captain Ricky Ponting has weighed in on the heated exchange between India's Mohammed Siraj and Australia's Travis Head during the Adelaide Test
The others to arrive after a delayed flight were K L Rahul, Yashasvi Jaiswal, Arshdeep Singh, Harshit Rana and Nitish Kumar Reddy along with some members of the support staff.
Australia held their nerve in a tense chase, edging past India by two wickets to seal the series 2-0 despite a late fightback from the visitors on Thursday in Adelaide.
Australian batter Josh Inglis, who was to be available for only four IPL matches next year, could play more games after securing a hefty bid from Lucknow Super Giants in the recent players' auction, triggering uneasiness in the BCCI and his former franchise Punjab Kings.
While the whole batting unit faltered, the spotlight fell firmly on seniors Rohit Sharma and Virat Kohli, whose lean patches in recent times have become a matter of concern.
Australia fast bowler Josh Hazlewood has been ruled out of the second Test against India in Adelaide with a low grade side injury.
Rohit Sharma is set to bat down the order in the second Test against Australia at the Adelaide Oval.
Tim Paine captained Australia during India's last two tours Down Under in which the visitors recorded identical 2-1 series victories.
Adelaide, which was due to host the second Test from December 12-16, will now host the series opener from December 9-13, in what is sure to be a highly emotional occasion.
Rohit Sharma followed up his knock of 73 in the second ODI in Adelaide with a match-winning unbeaten 121 in Sydney to be named the Player of the Series.
Australia captain Pat Cummins said it is a "privilege" to have a bowler of Mitchell Starc's calibre at his disposal.
The Indian team's heavy reliance on all-rounders will be tested by a plucky Australia in the second ODI but the spotlight will continue to stay firmly on Virat Kohli and Rohit Sharma, both of whom would look to turn back the clock with series-saving knocks in Adelaide on Thursday.
Cricket Australia chief executive Todd Greenberg believes that the aggressive tone of the ongoing Test series between India and England will be a huge selling point for the match-day tickets of the upcoming Ashes.
'Having performed on these grounds, he'll feel that extra bit of confidence.' 'Of course, you need a bit of luck at the start, but if he gets off to a good start, he will get big runs.'
'In my mind, it was very clear you can't do worse than that (Adelaide). You'll have a day when the luck is in your favour and you can bounce back. And that's exactly what happened.'
Cummins remains a doubtful for the Ashes opener at Perth starting on November 21 but Marsh is among the players who would be in fray for selection for the opening Test of the five-match series.
'I want to play more cricket. Where is the place? Obviously not in the Indian dressing room but from somewhere else. I want to be honest with the game.'
India's overall lowest, however, was recorded four years ago against Australia when they were shot out for a mere 36 at Adelaide.
Rohit, who had missed the first Test, dropped down to the number six spot in the pink ball Test after KL Rahul excelled at the top in the series opener in his absence.
If Pakistan can either draw or win both Tests in South Africa, it will significantly boost India's chances, even if they manage a 2-2 draw in their current Test series against Australia.
India did not respect the match situation, the playing conditions, and the bowlers, and they've paid a price for it.
'Normally, you tend to look at the end of the series. That's it. In the middle, it is not usual.'
The 32-year-old Cummins would be watching the action unfold from the sidelines due to a back injury.
Rohit hinted that the 64-Test veteran could still play a part in the remainder of the five-Test series in Australia.
Captain Pat Cummins said after the match that Hazlewood's injury was nothing too serious.
The Prime Minister's XI team will be led by uncapped all-rounder Jack Edwards of New South Wales.
The six-day lockdown in South Australia to contain COVID-19 cases has improved Adelaide's chances of remaining the venue of the first day-night Test between India and Australia from December 17 even though the situation remains fluid
At the end of the first day of play, it is the home side that is firmly in control, and India that is now reduced to chasing the game.
Nathan McSweeney, who opened in the first three Tests with little success, has been dropped.
Feuding for the past 30 years, former Australia captain Ian Chappell and legendary England all-rounder Ian Botham reportedly came to blows during an angry showdown on the fourth day of the just-concluded second Ashes Test in Adelaide.
On Saturday, Rohit and Virat turned back the clock, delivering a vintage special with their refined strokeplay to silence their critics.
'You've got to love the banter, especially from someone so young.'
Virat Kohli, 36, and Rohit Sharma, 38, are active internationally only in the 50-overs format but their future beyond the three-match series is uncertain.