Shastri added that Shreyas Iyer, who has had a tremendous run in white-ball cricket for India as well as in the IPL, is another player who could get selected for the England tour, but would face stiff competition.
After Sunday's defeat in Perth, the three-match series moves to Adelaide on Thursday before concluding in Sydney on Saturday.
The 21-year-old Reddy showed tremendous grit, scoring a dogged 105 not out at number 8 to virtually bail India out on the third day of the Boxing Day Test.
Ravi Shastri picked Rishabh Pant's dismissal in the first innings and Karun Nair's wicket in the second essay as the key moments that tilted the third Test at Lord's in England's favour.
'He will be a vital cog in the wheel for the Asia Cup.'
India captain Rohit Sharma stood down from the fifth and final Test against Australia in Sydney in January.
Earlier in the match, Ruturaj Gaikwad continued his rich vein of form, compiling a classy 116 off 163 balls as Maharashtra posted 313 in their first innings.
Customs were broken and tensions visible as India and Pakistan skipped the usual handshakes after their Asia Cup clash in Dubai on Sunday.
Virat Kohli and Steve Smith will be "dangerous" and "hungry" for runs in the remaining two Tests
Ravi Shastri believes Virat Kohli has the potential to turn around his poor form and prosper during the upcoming five-Test Border-Gavaskar series in Australia.
'India is much stronger in white ball than the red ball. Rohit Sharma, Virat Kohli... they know that these youngsters are pushing them.'
Nasser Hussain and Michael Atherton, the former England captains and respected pundits, will also be providing their expert analysis alongside former West Indies pacer Ian Bishop.
'In a format driven by aggression and innovation, the question remains: Can Shubman Gill's classical batting style continue to find space in India's T20 future?'
This Asia Cup has charred the relationship between India and Pakistan players.
'Samson is most dangerous in the top three. That's where he wins you matches. He should be left there.'
Former India coach Ravi Shastri says the stylish batter should go in with a clear mindset, change his tactics, and attack the bowlers.
Former spinner Harbhajan Singh believes India should have won more trophies during Virat Kohli's reign as a white-ball captain as he had a good bunch of players under him.
Former India coach Ravi Shastri cautioned against giving Jasprit Bumrah five Tests in a row in England.
Sinner, Alcaraz will keep tennis' flag flying: Shastri
With Samson pushed to No. 5 in the batting line-up, fans are now call for his promotion up the order in the dead rubber final Group A match against Oman on September 19.
'It's very unfortunate that our players don't go to him for advice.'
- 'Give this side 12 months and you watch, they will be a bullet side' - 'The scoreline doesn't matter' - 'What we miss overseas is a batsman in the top six who can bowl. Someone like Sourav'
Praising Team Director Ravi Shastri for lifting the morale, Test opener Murali Vijay has said that the former all-rounder has entered the Indian cricket dressing room at the right time as things have fallen into place with the current coaching set-up.
'He backs players he likes but lets go of those he doesn't.'
Mohammed Shami's fiery spell at Johannesburg in 2018 wasn't just about swing and seam-it was fuelled by biryani, banter, and a well-timed provocation from head coach Ravi Shastri.
'Pakistan can beat any team on any given day'
'Ravi was very streetsmart, cricketsmart, so that made him more adaptable whenever situations changed or conditions changed.'
Former Team Director of the Indian cricket team Ravi Shastri made it clear that had he been the chairman of selectors, he would have thought about making "Virat Kohli the captain in all three formats" and let Mahendra Singh Dhoni "enjoy his game". Asked if he feels that Kohli is ready for leading across all formats, Shastri told India Today channel: "If I am the chairman of selectors, I would be thinking in that fashion, absolutely. It is it time to start thinking. You have to see India has no major event in three years till 2019 World Cup. This is your best chance to think and build." Shastri also made it clear that Dhoni can still contribute as a player. "By no stretch of imagination, you are taking anything away from MS. He can still contribute massively as a player. Time has come to allow him to enjoy himself, enjoy the game. It also depends on how much hungry MS is, how passionate he is, whether the juices are still flowing. It's a Catch-22 situation but you have to take hard decisions."
Ravi Shastri guided India to back-to-back series wins in Australia and his short advice to current head coach Gautam Gambhir is to "stay calm" over the course of five Tests Down Under and avoid knee-jerk reactions.
Shastri, speaking to Sanjana Ganesan on The ICC Review, suggested there's more to it than meets the eye.
Shubman Gill's toss woes continued as England opted to bowl in the fifth and final Test at The Oval on Thursday.
'We were not thinking about a series win because we were just bowled out for 36.' 'The mood in the dressing room was a bit down. Ravi Bhai organised a team dinner. He arranged for karaoke, he started singing. He sang old Hindi songs. Everybody joined in.'
Former India coach Ravi Shastri feels Virat Kohli's Test retirement could have been handled better as he deserved a proper farewell and said he would have reinstated him as captain after the Australia series.
Bumrah, rested for the second Test against England, made a classy appearance alongside wife Sanjana Ganesan.
'Am I the reason team will lose? Kuldeep might think, I am bowling so well, even after that I am not playing, then am I the problem in this team?'
Gujarat Titans opener B Sai Sudharsan continued his red-hot form in the Indian Premier League to lead the Orange Cap race for IPL's top scorer and stake his claim for a Test debut in India's tour of England later this year.
Gambhir was named India Head Coach in July after the end of Rahul Dravid's tenure.
Jadeja reduces South Africa to 93/7 in second innings, India smell big win
Former players lauded Varun Chakravarthy's bowling display against New Zealand in the Champions Trophy, with Ravi Shastri advocating for his inclusion in the semifinals.
Sack Gambhir before he damages any more careers, if you must. But it cannot stop there. The project ahead must be bigger, more ambitious, and far more urgent: Rebuilding the spine of Indian cricket from the grassroots up, and giving the Test team the seriousness it deserves. Only then will Indian cricket stop lurching from one crisis to another and begin, once again, to imagine greatness, suggests Prem Panicker.