Manager Unai Emery will be hopeful of bringing in new faces at the club.
Palace’s Zaha, who this week admitted he wanted to leave Crystal Palace, is heavily linked with Arsenal.
The Ivorian is keen on joining a team playing Champions League football.
Arsenal would be in the Champions League next season should they win the Europa League final against Chelsea later this month.
Palace also want £80m for Zaha this summer.
But according to the Sun, Arsenal have launched an opening offer of £40m.
The Gunners are unlikely to be able to match Palace’s inflated estimation.
But up to three players could head south of the river as part of any deal for Zaha.
The newspaper claim that Arsenal are open to allowing Calum Chambers, Carl Jenkinson and Reiss Nelson to move as makeweights.