IMG, the widely known consulting firm, said the procedure on the 2008 Masters champion was performed at the Hospital for Special Surgery in New York Thursday by Dr. Andrew Weiland.
A severe case of tendinitis, which affected other areas, made the surgery necessary.
"I'm extremely pleased with how the surgery went," Weiland said. "I'm confident Trevor will make a full recovery in time for the 2010 season."
"Everything went as planned and I thank Dr. Weiland and his team," Immelman, a native of Cape Town, South Africa, wrote on his Twitter page Friday.
He won at Augusta in 2008 and in his career, has won six tournaments, twice on the PGA Tour and four times on the European Tour.
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