Saha took some exceptional catches behind the stumps in the last match on Umesh Yadav's and Ravichandran Ashwin's deliveries.
'It has been an honour to lead Pakistan at the highest level, ' Sarfaraz Ahmed said in an official statement by Pakistan Cricket Board.
India was knocked out of the World Cup 2019 in the semi-finals after facing a defeat at the hands of New Zealand.
The tourists were dismissed for 189 after following-on in the final session of day four in Pune, as India took an unassailable 2-0 lead in the three-match series.
Akmal is followed by Sri Lanka's Tillakaratne Dilshan, Pakistan's Shahid Afridi and Bangladesh's Mashrafe Mortaza.
With Shafali already in the national team, at least two other members of the Verma family hope to find cricket success.
The appointment of all the three members of the CAC was specific only for the selection of the head coach this year.
The Indian team have posted a score of 202 without losing a wicket after 59.1 overs.
Teams have been reluctant to visit the cricket-mad country since a terrorist attack on the Sri Lankan team bus in Lahore in 2009.
Yadav, who has taken 119 wickets in 41 Tests, last played for India in December in Australia
Ten senior players citing security concerns have opted out of the tour comprising three one-day internationals and three Twenty20 matches beginning on Friday
Bairstow, 29, scored just 214 runs in the five Ashes Tests during the English summer at an average of 23.77
Kohli was found guilty of breaching Article 2.12 of the ICC Code of Conduct for Players and Player Support Personnel
Durham recruited Bancroft, 26, after he had served a nine-month ban imposed for his involvement in the ball-tampering scandal in South Africa that rocked Australian cricket in 2018
South Africa, throughout the series, displayed amazing fielding. With the combination of good fielding and bowling, they restricted India to 134 runs in the third T20I