[2] Zarzu competed with Andreea Munteanu, Miriam Aribășoiu, Ștefania Stănilă, and Paula Tudorache at the 2012 European Junior Championships, and they won the bronze medal.
[3] She competed with Andreea Iridon and Laura Jurca at the 2013 European Youth Summer Olympic Festival, and they won the team bronze medal behind Russia and Great Britain.
[5] She competed at the 2014 European Championships alongside Larisa Iordache, Diana Bulimar, Andreea Munteanu, and Ștefania Stănilă, and they won the team gold medal.
[7] She competed at the 2014 World Championships with Larisa Iordache, Ștefania Stănilă, Andreea Munteanu, Anamaria Ocolișan, and Paula Tudorache, and they placed 4th in the team final.
[13] Zarzu was selected to compete at the 2015 World Championships along with Diana Bulimar, Ana Maria Ocolişan, Laura Jurca, Larisa Iordache, and Catalina Ponor.