The Mirror says Manchester City, Liverpool and Arsenal are all keen on 22 year-old.
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Wolves rate the young left-back at 50m.
At-Nouri's contract at Molineux runs until the summer of 2026.
Big Prem trio chasing Wolves defender Aït-Nouri
Ait-Nouri has been outstanding for Wolves this season, particularly in an attacking role under manager Gary O'Neil.