As per BCB's chief selector Minhajul Abedin, though the all-rounder is returning back to home but the board is not ruling him out from the upcoming two-match Test series.
Janneman Malan and Keegan Petersen -- on Friday earned the Cricket South Africa's contracts among the men's players for the 2022-23 season.
Six players -- Rabada, Ngidi, van der Dussen, Markram, Jansen and Nortje, are a part of South Africa's Test plans.
South Africa are set to play three one-dayers and two Tests against Bangladesh starting March 18, while the IPL is scheduled to be held from March 26 to May 29.
The Proteas will depart South Africa for New Zealand on Wednesday.
The 26-year old Luus will lead a side that is missing senior players -- regular captain Dane Van Niekerk (ankle injury) as well as Lizelle Lee (Covid). Chloe Tryon will serve as Luus' deputy in the series.
South Africa's director of cricket Graeme Smith has thanked BCCI president Sourav Ganguly and secretary Jay Shah and the Indian team for showing 'faith' in Cricket South Africa (CSA) to organise the tour of the country.
Lizelle was in a league of her own in ODIs in 2021, finishing as the highest run-scorer in the format, scoring 632 runs in 11 matches at an average of 90.28 with one century and five half-centuries.
Erasmus has been officiating at the highest level in cricket since 2007 and has also been the man in the middle for 70 Tests, 35 men's T20Is and 18 women's T20Is.
The Proteas made a clean sweep of the three-match ODI series, scoring a thrilling four-run win against the tourists to add to the 2-1 Test series victory.