New Zealand host India in five T20s, five one-day internationals (ODIs) and two tests, with the opening T20 in Christchurch on October 22.
Chapman suffered a left hamstring tear during the European T20 League last month but is expected to be available for the ODI series against India.
Foulkes injured his right hip flexor during a recent Canterbury men's training session, with no timeline yet set for his return.
All-rounder Josh Clarkson and fast bowler Blair Tickner have been added to New Zealand's T20 squad as replacements for Chapman and Foulkes.
"I'm gutted for Mark and Zak and I wish them both a smooth recovery. We're fortunate to be able to lean on the expertise of Josh and Blair. I know they're both very excited to be involved," coach Rob Walter said.
New Zealand squad v India:
Mitchell Santner (C), Finn Allen, Michael Bracewell, Josh Clarkson, Devon Conway, Jacob Duffy, Lockie Ferguson, Matt Henry, Bevon Jacobs, Kyle Jamieson, Adam Milne, Daryl Mitchell, Glenn Phillips, Tim Seifert, Nathan Smith, Blair Tickner.