FIFA match agent Lou Sticca, who has McDonald as a client, put the game together along with Suncorp Stadium.
Celtic Chief Executive Peter Lawwell said: "Celtic are fortunate to enjoy the support of millions of people worldwide," he said, "and it will be a great privilege to ensure that many of our Australian supporters have the chance to see the team play in their own country.
"As well as playing in the match we are hoping to stage a number of other supporter events and we are sure we will make this a trip to remember for Celtic and our fans."
Among the stars of the Brisbane Roar side are two names familiar to Celtic fans. Former Rangers players Craig Moore, who captains the side, and Charlie Miller, the Hyundai A-League Player of the Year are set to play in the game.
Brisbane Roar general manager Peter McLennan said: "This is a contest that should excite every football fan in Queensland, not just those who follow the famous green and white Hoops."
For more information, fans can visit roarvceltic.com.