Nicknamed "Al-Saher" (The Magician) in his playing days and regarded as one of Iraq's and Asia's best players of all time, Radhi scored the only Iraqi goal at the FIFA World Cup in its 1986 edition, a low shot to the corner of the net against Belgium in a 2–1 defeat.

Radhi was given his debut for Iraq against Jordan on 21 February 1982 by Ammo Baba, who acknowledged his talent and supported the player in his first years of senior football.

Coach Baba however left Radhi out of the 1984 Summer Olympics squad citing a lack of effort by the player.

[5] In October 2007, he was nominated by the opposition Iraqi Accord Front to the Council of Representatives of Iraq, replacing Abd al-Nasir al-Janabi, who had resigned to join the insurgency.

[8][9] Details about his death were later revealed, that he was about to be taken to be treated in Jordan, but delays in finalizing his medical report postponed the proposed flight.