McAuley has been one of the stars of Albion's impressive campaign, forging a strong partnership with Jonas Olsson at the heart of the defence.
But the 33-year-old Northern Ireland international is struggling to agree a new deal at The Hawthorns and Clarke is hopeful that the stalemate soon comes to an end.
"I want him to get the deal he deserves," said Clarke, quoted in The Sun.
"But it's not my department, I leave that to other people.
"I'd like to think that Gareth McAuley will be with Albion next season."
McAuley's current deal runs out in June 2014.