The 37-year-old debuted for the national team in 2004, when he was 24, having initially played Samoa at youth level.
The Sydney-born player was eligible to play for England and Ireland when FIFA changed it eligibility rules that year, but he elected to turn out for the country of his birth.
He debuted in a World Cup qualifier against Tahiti on May 31 and made an immediate impression by scoring twice in a 9-0 win before grabbing a hat-trick three days later in a 6-1 success over Fiji.
Among his most memorable efforts was a terrific strike against the Netherlands in a 3-2 defeat at the 2014 World Cup – one of three finals tournaments he has scored in.
Head coach Ange Postecoglou said on Saturday: "It's not just football, to Australia as a nation, he's a great Australian, he transcends sport."
The Socceroos still hope to qualify for the semi-finals but will need to record an unlikely victory over the reigning champions of South America to stand any chance.