In 2022, Yang joined Gangneung Jeil High School and started to play for the school's football club, known as an academy of Gangwon FC. Prior to the 2024 season, when he was just one year away from graduating, he promoted to the senior team.[2] He won the K League Player of the Month award for July 2024, becoming the youngest player to win the award.[3]
Yang signed a five-year contract with Tottenham Hotspur on 28 July 2024, and will join the club in January 2025, allowing him to complete the 2024 K League 1 season with Gangwon.[4]