Brearley said that the 28-year-old had to make batting his top priority in the longest format of the game.
India registered its first Test win at the Mecca of Cricket.
Steve Smith and Marnus Labuschagne put on 116 for the third wicket before the latter was bowled by a beautiful delivery from Craig Overton for 67.
The 28-year-old clobbered left-arm spinner Karl Carver six times over the rope in the 16th over to join a select group that includes Garfield Sobers, Ravi Shastri, Herschelle Gibbs, Yuvraj Singh and Lancashire's Jordan Clark, who achieved it in a second-team game against Yorkshire.
Wood's injury has created an opening for Saqib Mahmood's Test debut and Root did not rule that out.
Joe Root's side completed an emphatic victory halfway through the third day when Mohammed Abbas was caught in the slip off Stuart Broad, his third wicket of the innings.
Chris Woakes has replaced injured all-rounder Ben Stokes in the England squad for the second Test against Sri Lanka, the English Cricket Board said on Monday.
Skipper Joe Root, who led England to a series-levelling win at the Headingley, expects an Indian backlash in the penultimate Test and said they're ready for all combinations including facing the "world-class" R Ashwin at Oval.
The back to back Test series wins in Australia must rank as Ravi Shastri's greatest achievement as India's coach.
Saturday's game is a repeat of the 2011 World Cup final in Mumbai which India won.
Eoin Morgan's side have slipped to fourth in the standings behind New Zealand, Australia and India with three matches to play before the semi-finals.
Former Australia captain Ian Chappell lists a number of weaknesses in England's line-up, from Alastair Cook's performance suffering due to not having a stable opening partner to predictability in their pace attack and off-spinner Dom Bess's inexperience.
Australia have brought back former captain Steve Waugh to help the squad prepare for the final stretch of the Ashes series against England as the tourists look to rebound from the painful third Test defeat at Headingley. Waugh had left the squad after the first two Tests as scheduled but has rejoined the group ahead of the fourth Test at Old Trafford, starting on Wednesday.
'I thought Virat Kohli was the best batsman I've ever seen because of the way he plays in all forms, but Steve Smith... that's another level.'
England fast bowler James Anderson has been ruled out for the rest of the Ashes series against Australia due to a niggling calf injury.
Stokes plundered eight sixes in his astounding innings that fashioned a wholly unlikely one-wicket win for England, bringing the five-match series level at one-all, with everything to play for in the final two Tests.
It will also be a milestone in the career of England's talisman Ben Stokes as he captains the side for the first time.
'There aren't too many guys... that have averaged higher than Steve in Test cricket. Clearly they are huge shoes to fill and we don't put all that pressure on Marnus'
Alastair Cook has succeeded in pulling England out of Ashes defeat depression with two massive victories over India but the England captain was mulling resignation during the Sri Lanka series, it has been revealed.
If India top or finish fourth in the 10-team table, then they will play in the first semi-final at Old Trafford on July 9. In the scenario of India finishing second or third in the points table, they will feature in the second semi-final at Edgbaston on July 11.
Michael Vaughan returned to the England team when the squad for the second Test against West Indies at Headingley.
Vaughan has recovered from a broken finger that kept him out of the first Test at Lord's that ended in a draw on Monday.
Before coming into the series, England, and captain Alastair Cook in particular, were under tremendous pressure. They first lost the return Ashes series against Australia and then the home series loss versus Sri Lanka hurt them the most.
England captain Eoin Morgan's century led his team to an impressive series opening 72-run victory against top-ranked South Africa in their opening One-Day International at Headingley.
India's 15-member squad for the ICC World Cup will be selected on April 15 in Mumbai.
England's Ben Stokes has become a "world box-office attraction" with his Ashes heroics in the third Test against Australia and his life will never be the same again, former all-rounder Ian Botham said.
'It will depend on how he comes through the next 10 to 15 days,' coach Bob Woolmer said.
A virgin Motera pitch has become the big talking point as captain Virat Kohli looks to get the combination right with India looking to continue their momentum to trouble England in the day-night third Test match, starting in Ahmedabad, on Wednesday.
Saqlain Mushtaq was associated with the England as spin consultant till World Cup last year. Both Moeen and Rashid have dismissed Virat Kohli six times each.
The BCCI follows the rotation policy across formats but it has now more than 15 Test centres.
Images from the third day's play in the first Test between India and England, at Trent Bridge, Nottingham.
Former India captain Mahendra Singh Dhoni has become the highest individual income tax payer in Jharkhand for the financial year of 2017-18.
'We were actually very similar in that way, and we actually got on -- me and KP, professionally -- better than most people because we very honest with but openly disliked each other, but wanted each other in the team.'
BJ Watling scored a fine century as New Zealand dominated the final session with steely resolve to reach 338 for six on the third day of the second Test against England on Sunday.
Sri Lanka beat England with just one ball to spare to win the second Test at Headingley by 100 runs on Tuesday and take the two-match series 1-0.
Umpire Ian Gould felt the time was right to be calling it a day as he was honoured on the occasion of his 140th and final One-Day International at Headingley on Saturday.
England's "one-dimensional" batsmen are flat-track bullies who do not have an alternative plan if they are required to graft an innings in bowler-friendly surfaces, former batsman Geoffrey Boycott said.
England assistant coach Paul Farbrace has said that his side will be turning up on day five with the intention to win this second Test versus India at Lord's.
Pakistan beat England by nine wickets in the first Test at Lord's on Sunday.
