[1] Mohammed signed for Iraqi Premier League side Al-Kahrabaa in 2017, helping them to fifth place in his debut season, their best ever finish in their history.
[4] In June 2020, Mohammed signed for Iraqi Premier League defending champions Al-Shorta.
Murad was part of the Iraq U-23 side that qualified for the 2020 AFC U-23 Championship in Australia.
Murad scored 3 goals in 3 appearances in the qualifiers and started all 3 matches in the tournament as Iraq were knocked out at the group stage.
On 27 January 2021, Murad Mohammed made his first international cap with Iraq against Kuwait in a friendly.