[3] Al-Hamadi’s father, Ibrahim, who was studying to become a lawyer at that point, was part of a peaceful protest against the dictatorship of Saddam Hussein and he ended up being jailed.

[3] Al-Hamadi joined Tranmere’s under-14s and stayed with the club for three years, being offered a professional contract in the summer of 2018 but he instead opted for a two-year scholarship at Swansea City's academy.

[7] In September 2021, Al-Hamadi went on trial with Derby County, scoring for their under-23 side in a 3–3 Premier League Cup draw against the Norwich City under-23s.

[8][9] On 20 November 2021, Al-Hamadi signed an eighteen-month contract with League One side Wycombe Wanderers, following a successful trial period at the club.

[18] He was twice-awarded the PFA League Two Fans' Player of the Month award while at Wimbledon, earning the honours in March and September, 2023.

[24] On 17 August, Al-Hamadi was brought on as a substitute during Ipswich's first match of the 2024–25 season against Liverpool, becoming the first Iraqi footballer to play in the Premier League.

[citation needed] Ali received his first call-up to the senior national team in November 2021 as part of Iraq’s squad for their 2022 FIFA World Cup qualifiers against South Korea and Syria, with Iraq’s first choice striker Mohanad Ali out injured and Alaa Abbas still regaining fitness after his injury.