Iordache was the 2013 European champion on beam, and the most successful gymnast at the 2014 European Championships, winning gold with her team and as an individual on floor exercise, silver on balance beam, and bronze on vault. She won bronze on beam at the 2017 European Championships, held in her home country in Cluj-Napoca. In 2020, she came back from a three-year break to win gold medals on balance beam and floor exercise at the 2020 European Championships, along with a silver with her team and as an individual on vault. Overall, Iordache has won sixteen medals at the European Championships, making her the second most decorated gymnast at the European level behind Svetlana Khorkina. She is also a twelve-time gold medalist in the World Cups and the 2017 Universiade champion in the all-around and on floor exercise.