Quazem moved to Canada at the age of seven, where he attended Lillian Osborne High School in Edmonton.
[2] In 2021, Quazem successfully trialed for Bangladesh Premier League club Saif SC, however, he was not able to join the team due to passport issues.
[4] In November 2023, Quazem was included in the Bangladesh national team's 30-men preliminary squad for the 2026 FIFA World Cup qualification – AFC second round.
However, on 2 November, he sustained a hamstring injury during a game against Sheikh Jamal Dhanmondi Club, which kept him out of action for almost two weeks.
[5] Quazem made his debut for the Bangladesh national team on 11 June 2024 in a World Cup qualifier against Lebanon at the Khalifa International Stadium in Qatar.