The England national team player is being targeted by Arsenal and Tottenham this summer.
The club is optimistic about retaining Eze due to the expiration of his buyout clause in his contract.
This clause, worth £68 million, was active until the last two weeks before the new Premier League season begins.
As today, Friday August 1, is the deadline, Palace now has more negotiating power with potential suitors.
Arsenal is the favourite to sign Eze, but they must make significant sales to meet their Profit & Sustainability requirements before making a bid for the 27-year-old midfielder.