Kishi made his TV drama debut in Kamen Teacher in 2013 as Shishimaru, one of key students. The following year, he appeared in Kin Kyori Renai, an adaptation of the manga series of the same name. Kishi's first lead role was in Oniichan, Gacha, opposite Rio Suzuki. For his performance, he won the TVnavi Drama of the Year award for Best New Actor. Kishi starred as Masaya in the NHK TV drama Oedo Robocon in 2017. He played a high school student who traveled back in Edo era and joined a Karakuri puppet contest using his skills. In 2021, he starred in the drama Night Doctor, alongside Haru and Kei Tanaka. His performance won him the Nikkan Sports Drama Grand Prix Award for Best Supporting Actor.
