Zarzu competed at the 2016 Olympic Test Event with Diana Bulimar, Maria Holbură, Anamaria Ocolișan, Cătălina Ponor, and Dora Vulcan, but the team finished 7th, meaning they did not qualify for the 2016 Olympic Games. She then competed with Anda Butuc, Ocolișan, Ponor, and Holbură at the 2016 European Championships where they finished 6th in the team final. In July, she placed seventh on uneven bars at the National Championships.