The Austrian has been linked with Manchester United with his deal to expire in June.
“We've had some early conversations,” Parish told talkSPORT. “We’d love to keep Oliver. We're building something.
“I think for Oliver it's about the conditions being right... it's about everything being in a way that he enjoys his work and he finds the conditions favourable to achieve.
“Oliver wants to win things. If we can align those interests, then hopefully we can make something happen.”