Moroșanu was discovered by Albu Ştefan who became her first trainer whilst she was at school in Belcești, a village 40 km from Iaşi.

At the 2004 Summer Olympics Moroșanu was part of the Romanian 4 × 400 m relay team.

She finished 8th in the 200 m final at the 2006 European Athletics Championships in Gothenburg, where she also took part in the 400 m hurdles.

At the 2008 Summer Olympics Moroșanu made it into the semifinals of the 400 m hurdles, finishing in 16th place overall.

At the 2009 World Championships in Athletics in Berlin, Moroșanu came last in the finals of the 400 m hurdles, with a time of 55.04s.