Goetze, 21, who joined Bayern from rivals Borussia Dortmund, has been out with a torn hamstring since April and will miss Friday's Bundesliga opener for Bayern at home to Borussia Moenchengladbach.
The Germany star actioned a clause in his Dortmund contract last season allowing him to join Bayern for 37 million euros (US$49.5m).
"We've promised he will play a few minutes," Bayern coach Pep Guardiola said after Goetze first trained with the team last week as part of his rehabilitation.
Goetze was injured in Dortmund's Champions League semi-final at Real Madrid and sat out the Wembley final in May when Bayern's Arjen Robben scored the late winner.
Mario Goetze to make debut for Bayern Munich in Hungary
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