[2] Over the years, Groza released several acclaimed albums and hit songs, including "Apa" in 2012, which reached number two on the native Airplay 100 chart.

When she was 14, she was noticed by composers Dumitru Moroșanu and Zsolt Kerestely,[3] who invited her to Bucharest for the talent show Steaua fără nume (The Star Without a Name) although she was too young, as the minimum admission age was 17.

[5] In 1987, at the Costinești Music Festival, she met the acclaimed composer Adrian Enescu, who wrote the song "O inimă de 16 ani" ("A 16-Year-Old Heart") for her; this was followed by an entire record, her debut album Bună seara, iubito!

[8] After a career hiatus until 1994, Groza made a comeback with the album Atitudine (Attitude) and toured Romania with the band Direcția 5 in 1995.

From 2003 to 2006, Groza released the albums Fata cu șosete de diamant (The Girl with Diamond Socks),[15] Extravaganza,[16] and Jamparalele.

Groza was chosen to dub the singing voice of Gloria in Happy Feet Two[17] and Barbara Gordon in Lego Batman: The Movie.