Bosch was in line to make his T20I debut in the five-match series that starts in Mount Maunganui on 15 March.
Mulder has featured in 11 T20Is but is not a regular at international level in the shortest format with the Proteas sending a much changed line-up to New Zealand that did duty in T20 World Cup.
Only Keshav Maharaj, George Linde and Jason Smith were selected in the 15-man squad from the global tournament, where the Proteas lost in the semifinal against the Kiwis.
The Proteas men's T20Is will all act as double-headers as the matches will follow the women's T20Is on the same grounds earlier in the day.
Proteas T20I squad: Keshav Maharaj (captain), Ottneil Baartman, Wiaan Mulder, Gerald Coetzee, Tony de Zorzi, Connor Esterhuizen, Dian Forrester, Jordan Hermann, Rubin Hermann, George Linde, Nqobani Mokoena, Andile Simelane, Lutho Sipamla, Prenelan Subrayen, and Jason Smith
Proteas captain Aiden Markram cut a dejected figure as he fronted up to the press in the wake of their T20 World Cup semifinal loss to New Zealand on Wednesday.
New Zealand seamer Matt Henry heaped praise on the Black Caps' bowling unit for their performance against South Africa in their T20 World Cup semifinal win on Wednesday.
The Proteas were blown away by New Zealand in their T20 World Cup semifinal clash, going down by eight wickets with more than seven overs to spare.
Proteas coach Shukri Conrad is happy for his team to embrace the favourites tag as they head into Wednesday's T20 World Cup semifinal against New Zealand in Kolkata.
