Quan Văn Chuẩn was associated with the Hanoi academy from the age of ten.
In 2020, Chuẩn was sent on loan, along with some other Hanoi youths, to the Vietnamese Second Division club Phu Tho FC on a season-long loan deal, to gain match experience.[2] He also spent the first half of the 2021 season at Phu Tho before returning to Hanoi after the season was canceled due to COVID-19.
On 8 September 2022, Chuẩn made his Hanoi FC debut in a 5–0 victory against Binh Phuoc in the Vietnamese Cup quarterfinals.[3]