Annamari Chundak made her World Cup debut in October 2006. Until 2010 Winter Olympics she managed to qualify for knockout stage only once – on 6 February 2010, in German Sudelfeld where she was 14th. At 2010 Winter Olympics she surprisingly qualified 16th in the parallel giant slalom, but lost in the round of 16 to Marion Kreiner, finishing 16th. Later that year she became Junior World Champion in parallel giant slalom in Snow Park, New Zealand. She is also a two-time silver medalist of Winter Universiades in parallel giant slalom: in 2011 in Turkish Erzurum and 2017 in Kazakh Almaty.