The best we can hope for is a player who is in grey area in terms of quality and popularity, players like Arshavin, Cazorla or Mertesacker.
Even if he had £800m at his disposal, Wenger will never pay £40m for a player, that's just not him. As we all know he likes finding hidden gems and turn them into world class players. That's why I think he refuses to join teams like Real Madrid or PSG because there he will be forced to buy box-office footballers. At Arsenal he has the luxury to do it his way.