The 32-year-old has been linked with a return to his native South Africa as he approaches the twilight years of his career.
However, Pienaar remains committed to the Toffees and hopes to play a big part for them next season.
"I'm definitely staying," he told Sport24. "My goals are to stay fit and feature in as many games as possible."
It was confirmed on Wednesday that Everton will start the new Premier League campaign away to newly-promoted Leicester City on August 16.