Abdul Razzaq was called up by national team coach Yuri Illichev to the 1972 AFC Asian Cup qualification. He scored 2 goals in the tournament including the first goal against Jordan in the match which Iraq won 2–0 and against Lebanon in the match which Iraq won 4–1 where Iraq won first place in the group stage to qualify for the 1972 AFC Asian Cup. Abdul Razzaq was called up by national team coach Abdelilah Mohammed Hassan to the 1972 AFC Asian Cup which Iraq did not achieve a positive outcome.