Tiffen liked the good mix of youth and experience in the groups.
Satterthwaite has replaced Suzie Bates as skipper, Bates standing down last week.
''Amy is a highly experienced cricketer and she has taken the captaincy in her stride,'' Tiffen said.
The women's world T20 starts on November 9.
New Zealand squad for world T20: Amy Satterthwaite (c), Suzie Bates, Bernadine Bezuidenhout, Sophie Devine, Kate Ebrahim, Maddy Green, Holly Huddleston, Hayley Jensen, Leigh Kasperek, Amelia Kerr, Katey Martin, Anna Peterson, Hannah Rowe, Lea Tahuhu, Jess Watkin.
New Zealand squad to play Australia in three T20 internationals at the end of this month: Amy Satterthwaite (c), Suzie Bates, Bernadine Bezuidenhout, Sophie Devine, Kate Ebrahim, Maddy Green, Holly Huddleston, Hayley Jensen, Leigh Kasperek, Amelia Kerr, Katey Martin, Lea Tahuhu, Jess Watkin.