Mark Chapman struck a blistering 94 Friday as New Zealand scored 204 in the third Twenty20 against Pakistan and moved into a strong position to clinch the five-match series.
The Proteas, with 12 points from seven games so far, join hosts India in booking a place in the last four.
Zaman was undefeated on 106 while skipper Babar Azam was 47 not out as Pakistan reached 160-1 in the 22nd over when rain halted play.
Rachin Ravindra cracked his third century of the World Cup while a fit-again Kane Williamson made up for lost time with 95 as New Zealand posted a commanding 401-6 from 50 overs in their high-stakes World Cup match against Pakistan on Saturday.
Pakistan have won the toss and decided to bowl first against New Zealand in their crucial World Cup fixture in Bengaluru today
Pakistan staved off a fifth consecutive defeat at home with a hard-fought draw in the first Test in Karachi Friday despite career-best bowling figures from New Zealand leg-spinner Ish Sodhi.
Pakistan will need to bat-out the last day to avoid defeat in the first Test after New Zealand gained the upper hand Thursday through a masterly undefeated double-hundred by Kane Williamson in Karachi.
New Zealand openers Devon Conway and Tom Latham blunted Pakistan bowlers to guide their side to a solid 165 without loss at close on the second day of the first Test in Karachi on Tuesday.
Colin Munro ensures New Zealand continue a stellar home summer when they thrashed Pakistan by seven wickets with 25 balls to spare in the opening Twenty20 match in Wellington.
Martin Guptill was at his belligerent best as New Zealand thrashed Pakistan by eight wickets in Nelson, although captain Kane Williamson admits a rain delay had done the hosts a favour.
