Miller has been a mainstay in South Africa's white-ball teams across the majority of his career and was part of the team that narrowly lost the most recent T20 World Cup final to India in Barbados.
The 22-year-old left-hander made an unbeaten 107 off 56 balls in an Indian total of 219-6.
Having rested a number of leading players, the hosts have named batters Matthew Breetzke and Donovan Ferreira, and seamers Ottniel Baartman, Nandre Burger and Lizaad Williams in their squad for the series.