Arsenal are operating on a shoestring budget this summer, with Unai Emery believed to have just £40 million to bolster his squad, with the Gunners defence and midfield being in particular need of surgery.
But he will push for more cash to land No1 attacking target Zaha, 26, seen as central to his summer rebuild. Palace will play hardball with any potential suitors for the 26-year-old Ivory Coast global, who is a boyhood Arsenal supporter.
In addition to the three Premier League clubs, Italian outfit Napoli are also reported to be interested in the Scottish worldwide.
Zaha has switched countries to play for Ivory Coast but he is still classed as homegrown on Premier League quotas.
The Baggies agreed to send Burke on loan to Celtic in the January transfer window and he was instantly given game time by then boss Brendan Rodgers.More news: National Basketball Association trade roundup: Hawks reportedly move up to No. 4
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The ex-Gunners midfielder told the Daily Star: "They are a long way behind Liverpool and Manchester City". The same with Alisson in goal. Emery would also have to persuade Zaha to play Europa League football next season after revealing he wanted to play in Europe's elite competition in the future.
The problem with having a low budget is that you are very limited in what you can do with that budget and for Arsenal, the solution is to bid low and hope for the best.
The fullback could leave Arsenal this summer after falling out of favour, and it looks like Besiktas and Celtic will go head to head for the player.
Reports in The Sun today claim that Arsenal have made a move for the Celtic full back, seeing their £15 million bid turned down by the Scottish champions.