Reports in the English press on Monday suggested Arsenal had opened talks with Barcelona for the forward.
Wenger said: “Barcelona do not want to sell David Villa. They’ve have made that very clear.
“You respect the desire that if someone says a player is not for transfer, you expect the other clubs not to try and buy him.
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Since Guus Hiddink arrived at the helm, Chelsea have improved considerably after a tricky start to the campaign.
Newcastle United are staring down the barrel of relegation to the Championship for the second time in the past eight years.