South Africa collapsed to 164 all out to lose their opening tour match against Western Australia by an innings and 48 runs.
The South African captain will tour Australia although his injured finger will need protection.
Graeme Smith smashed 85 to guide South Africa to a seven-wicket win over West Indies on the fourth day of the second Test in Cape Town on Saturday.
India included two spinners, left-arm Murali Kartik and Harbhajan Singh, along with three seamers.
Marlon Samuels was out for 94 as West Indies finished on 281-4 against South Africa in the first Test.
Astle and Patel shared six wickets to set up a comfortable five-wicket victory against South Africa on Friday.
They have been badly handicapped by injuries to their captain Graeme Smith and all rounder Jacques Kallis.
The South African cricketers visited to the headquarters of the Missionaries of Charity a day before the Test in Kolkata.
South Africa's pursuit of a series-levelling victory against Pakistan was marred on the third day of the second Test in Dubai when they were penalised five runs for ball tampering on Friday.
Top-ranked batsman Hashim Amla has joined Surrey for the final six matches of the County Championship season, the English club said on Wednesday.
The cut crystal trophy will be presented to the winner of the India-South Africa two-Test series.
The prospect of placid pitches and soaring temperatures present a formidable challenge to South Africa's hopes of verifying their status as the world's top team when their Test series against Pakistan begins in the United Arab Emirates on Monday.
Graeme Smith and Andrew Hall, and Yousuf Youhana were charged following incidents in the Lahore ODI. \n\n
Sreesanth is open to playing in overseas leagues and coaching roles
Kolpak deals to end; Cricket South Africa's Graeme Smith says they will welcome back any former Kolpak players who are willing to be part of the domestic structures.
South Africa captain Graeme Smith was disappointed but not downcast after the Proteas lost the third Test against England by 70 runs at Trent Bridge.
Their second defeat in three days saw them losing by four wickets in a one-day match at Taunton.
South Africa beat Australia by six wickets in the first one-day international.
Captain Graeme Smith scored 89 not out to help South Africa beat Australia by two runs in their Twenty20 match.
The Australian paceman took four wickets to lead his team to an 80-run win over South Africa
Captain Graeme Smith says his team will be giving 100 per cent at all times on the upcoming tour.
Spinner Nicky Boje will lead a South African team featuring two changes in the third and final one-day international against Zimbabwe in Port Elizabeth on Wednesday.
Reminiscing that 'kind of a T20' knock Gibbs said Australia had left the South Africans with no options but to fire on all cylinders in order to set another world record in the same match.
Smith injured a finger on his left hand attempting to take a catch during the fifth ODI between India and South Africa in Mumbai.
Skipper Graeme Smith shrugged off the loss in the second ODI, saying winning the series is South Africa's main target.
