Amir recently retired from international cricket due to his differences with team management comprising chief coach Misbah-ul-Haq and bowling coach Waqar Younis
New Zealand will start a two-match series against injury-hit Pakistan at Bay Oval on Boxing Day with an ICC World Test Championship final in their sights.
The 49-year-old will rejoin the national side in time for the home series against South Africa, which starts with the first Test in Karachi on January 26.