In 2007, she competed at the Prix de Lausanne and received a scholarship to American Ballet Theatre's second company, ABT II.[6] In May 2009, she returned to her home country and joined the Korea National Ballet,[7] where she became a soloist and performed main roles.[1] In 2010, she won the first prize at the Varna International Ballet Competition.[8]
In 2011, Park joined the Paris Opera Ballet with a fixed-term contract as a corps de ballet dancer.[9] A year later, she became a permanent member, after ranking first among 130 applicants in an audition, making her the first Korean woman to dance with the company full-time.[10][11] In 2013, she was promoted to coryphée.[12] She also received the Prix Du Cercle Carpeaux, and was the first Korean recipient of the award.[2] The following year, she became a sujet.[12][13] In December 2014, she danced as Naila in Jean-Guillaume Bart's La Source, thus becoming the first Asian dancer to perform a lead role in Paris Opera Ballet's history.[14] In 2015, she performed at Mariinsky Theatre in St Petersburg, Russia.[4]
In 2017, Park was named première danseuse, the second highest rank in the company.[15] She is the first Korean and second Asian to reach this rank.[16] In 2018, she was awarded the Prix Benois de la Danse for her performance in "Diamonds" from Balanchine's Jewels. She is the fourth Korean to win the award, after Kang Sue-jin, Kim Joo-won and Kim Kimin.[10] In June 2021, following a performance of Nureyev's Romeo and Juliet, in which she portrayed Juliet, she was named étoile by Paris Opera director Alexander Neef, at the suggestion of director of dance Aurélie Dupont.[15][17] She is the first dancer from Asia and one of only a few foreigners to hold the title.[1][17]