Pulis cast doubt on his future last week.
Parish told talkSPORT: "I can confirm that absolutely Tony will be our manager next season.
"Tony has two years left on his contract, we talk every day about the future.
"He's proven he can adapt his style. We've played very differently to the way Stoke played, he's adapted to the personnel we've got here. He's far from a one-dimensional manager.
"I've got a great relationship with Tony and I look forward to working with him for many years to come."
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