Broad has prior experience of captaining England, in 27 T20 internationals and three ODIs, between 2011 and 2014.
The off-spinner took 4 for 51 as his side bowled out Gloucestershire for 288 and enforced the follow-on.
But assistant coach Ashley Ross will take the team on its tour of the subcontinent.
Warwickshire captain Will Rhodes will lead the County Select XI to play India at the Emirates Riverside in Durham.
Graveney, who represented English counties Gloucestershire and Worcestershire as well as Australian state Queensland, also worked as a BBC television commentator and served as President of the Marylebone Cricket Club in 2005.
New Zealand started the search for a new national cricket coach on Thursday, saying it is offering an opportunity of a lifetime to a world class candidate with a proven track record. The search follows the decision of John Bracewell to return to coaching English country side Gloucestershire next season.
According to a statement by Zimbabwe Cricket, he collapsed while jogging, but details regarding the exact cause of his death haven't been determined yet.
The 40-year-old Pietersen said a win against India is similar to a victory against arch-rivals Australia and urged the selectors to play both Stuart Broad and James Anderson in the same XI.
England on Tuesday rested IPL stars including Jos Buttler and Jonny Bairstow for the upcoming two-Test series against New Zealand while Jofra Archer and Ben Stokes were not considered for selection due to injuries.
Bairstow replaces jaded Buttler in England squad while Australia rope in Hastings, and call-up Handscomb after injury glut
The Kiwi batsman turned down the chance to represent his country so he can continue playing county cricket in England.
The Aussie umpire was to officiate at Chesterfield in a second eleven match between Derbyshire and Gloucestershire on Wednesday, but was asked to stand down by the ECB.
Umesh Yadav is now eyeing a lengthy stint in county cricket in order to have more miles in his legs.
Ajinkya Rahane became the first fielder in Test history to take eight catches, achieving the feat in the ongoing first Test against Sri Lanka in Galle on Friday.
Injuries to Worcestershire wicketkeeper Steven Davies and his county colleague Kabir Ali has necessitated the England and Wales Cricket Board to make changes in the England Lions Squad to take part in the Duleep Trophy tournament to be held in West Zone centres.
The off-spinner could bag only two wickets from 49 overs in the second innings as Surrey drew against Gloucestershire.
India batsman Gautam Gambhir has been forced to cut short his stint with Essex due to family reasons but the English county club is hopeful of his return before the end of the season.
England's selectors named an unchanged 12-man team for the fourth Test against Pakistan, starting on Thursday.
Rajneesh Gupta gives us a list of noteworthy statistics from first-class and Ranji Trophy
Discarded India opener Gautam Gambhir's rough ride in county cricket continued as he was dismissed cheaply for only 3 runs playing for Essex against Hampshire in a Division Two County Championship match.
Indian batsman Gautam Gambhir will re-join Essex cricket team on Tuesday to play the remainder of his maiden English county season after he returned home for a brief period due to family issues.
The Indian pacer took 3 wickets for 41 runs in the County Championship Division One match against Gloucestershire.
Indian off-spinner Harbhajan Singh has signed a deal with the Essex County side to play in the second half of the English domestic season, the club said on Tuesday.
Jonathan Trott is 'raring to go' for England once again and he will make his comeback for Warwickshire in April, Dennis Amiss, chairman of Trott's benefit committee, said on Wednesday.
He featured in four games earlier in the summer, scoring 223 runs at an average of 44.6, including 112 in the victory over Gloucestershire in May.
The record books were rewritten twice in an astonishing run spree at Nottinghamshire's Trent Bridge ground on Monday which saw a record English one-day partnership and the most aggregate runs scored in a List A match. By the close in the Royal London One-Day Cup game between Notts and Northamptonshire, statisticians were checking to see if there had ever been a day like it anywhere in the world. The big hitting began from the start with Nottinghamshire's Riki Wessels and Michael Lumb sharing a record one-day partnership in England of 342 from 39.2 overs. Wessels eventually departed for a career-best 146, from 97 balls, while Lumb went on to make 184, also his best and a record for the county, as Nottinghamshire posted 445 for 8, the second highest score for a List A match in the world. The runs continued to flow when Northamptonshire chased down what would have been another record for a team batting second. But they fell short despite 128 from Rory Kleinveldt.
'Sunny Gavaskar is very mischievous, Harsha Bhogle is like a schoolboy," sports broadcaster Alan Wilkins tells Rediff.com/Norma Godinho in an exclusive interview.
Essex all-rounder Graham Napier equalled the record for the number of sixes in a first-class ininngs when he struck 16 in a county match against Surrey on Thursday.
The injury that left Australian batsman Phillip Hughes in a critical condition in hospital was a "rare" event but a reminder that cricket has always been a dangerous sport, West Indies batting great Brian Lara said on Wednesday.
Out-of-favour India opener Gautam Gambhir scored a patient 36 on rejoining Essex, in the County Championship Division Two four-day match against Kent in Canterbury on Wednesday.
Surrey amassed a world record 496 for four in their 50-over one day match against Gloucestershire at The Oval on Sunday.
The Indian off-spinner scored an attacking 84 for Surrey against Gloucestershire in a County Championship Division One match.
The 64-year-old will take charge of his final international match in the third ODI between Australia and England at The Oval.
The India captain was out after facing just one delivery in Glamorgan's match against Gloucestershire.
Alex Gidman will return home this week, midway through his team's tour of India, due to a finger injury.
Opener Prithvi Shaw and Mayank Agarwal took a second string Leicestershire attack to the cleaners as India 'A' piled up a mammoth 458 for four to win the second warm-up game by a massive 281 runs.
Rendered ineffective in the previous match, India's wrist spinners Kuldeep Yadav and Yuzvendra Chahal will look to bounce back against 'well-prepared' England batsmen when the two teams clash in the series-deciding third Twenty20 International, in Bristol, on Sunday.
It was the greatest series in the history of the game but what has become of those Australian and English players a decade on?