Career
On 26 October 2015, she reached her best singles ranking of world number 435. On 13 April 2015, she peaked at world number 704 in the doubles rankings. Barzó was given a wildcard for the 2013 Budapest Grand Prix, where she made her Women's Tennis Association main draw debut appearance alongside Dalma Gálfi in doubles, only to lose to the 2011 French Open – Women"s Doubles champions Andrea Hlaváčková and Lucie Hradecká.
Singles (3–2)
Doubles (0–2).