WARNING: This page is about a different car, the 2014 Hyundai Santa Fe Sport and 2013 Hyundai Santa Fe Sport. However, it is still accessible from the selected car via links, so may be relevant.
Fig 1: Identifying Hands Free Call Switch, Mic, Front Left Speaker, Front Right Speaker And Audio Head Unit
Courtesy of HYUNDAI MOTOR AMERICA
There is no hands free jack. This system supports Bluetooth (wireless system).