The Nigeria international is a target for Arsenal.
Ashworth told the WBA website: "Our aim is to retain our core players and try to strengthen our squad around them.
"I want to make it clear that Peter Odemwingie is not for sale and remains a key member of our squad.
"We have not received any offers for Peter and we have placed no valuation on his head.
"He has two years left to run on his current Albion contract and talks over a new deal are ongoing."