Jang Min-gyu begin first youth career with Bupyeong High School, when entered to Hanyang University. In 2019, he was selected for the first time to the South Korea national under-23 football team, which is aiming to qualify for the 2020 Olympics in Tokyo.
Jang Min-gyu begin first professional career with JEF United Chiba in 2020.[1] He leave from the club in 2022 after three years at Chiba.
On 7 December 2022, Jang Min-gyu officially transfer to J2 club, Machida Zelvia for upcoming 2023 season.[2]