Iraola confirmed this week that he will be leaving the manager's job at Bournemouth when his contract expires at the end of June.
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Palace are also facing a similar scenario with their manager Oliver Glasner and so are seeking a replacement for the Austrian.
Marca says Palace are in contact with Iraola and have made the Spaniard a bumper contract offer.
The package is said to include lucrative terms and over a long period.
Iraola is expected to deliver his response to Palace in the coming days.