The Israel international is delaying signing a new five-year contract at Upton Park - having verbally agreed to the deal three weeks ago - now that he is aware of Liverpool's interest.
Parry said on Thursday: "I can confirm we have made an approach for Yossi Benayoun, but the figures quoted are completely wrong. Other than that we don't want to say any more."
There has been speculation that Liverpool offered as little as £1million for the Isreal captain, with other suggestions that a £3million bid has been lodged.
West Ham are believed to have rejected the bid and plan talks this week to convince Benayoun to stay in east London, where his new contract will be worth £50,000 a week.