Lish was discovered at age 14 while working at her father's sushi restaurant,[4] a punishment for bad grades at school.
She is the third Mexican model to be featured on the cover of Vogue Italia - the first being Elsa Benítez and the second, Liliana Domínguez.
Lish has walked on dozens of catwalks, including shows for Prabal Gurung, Céline, Anna Sui[5] and Prada.
[10] In September 2024, Lish walked the runway at Paris Fashion Week S/S 2025 for Maison Yoshiki Paris, the high fashion brand created by Japanese rock star Yoshiki.
[11] Lish speaks five languages: Spanish, Japanese, English, French, and Portuguese.