The 29-year-old Arsenal star -- who is at his third World Cup finals -- suffered the injury in Germany's 1-0 win over the USA on Thursday in their final group stage match and an MRI scan on Saturday revealed a small tear.
"Lukas must rest for two or three days, but should we progress in the tournament it won't be a problem for him to play," said Germany coach Joachim Loew.
With Podolski out, Bayern Munich's Mario Goetze is set to take his place on the left wing.
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