Shawcross has been linked with the likes of Wolfsburg, Juventus, Liverpool and Manchester United in recent weeks.
Pulis said last night: “We are under no pressure to sell and Ryan is somebody the chairman will not contemplate leaving.
“Ryan could not be happier here and we’ve also got him on a very good long-term contract.
“Obviously if we were offered ridiculous money then any club would have to look at it. But we’ve had no offers as yet and wouldn’t welcome any.
“We see Ryan as a major part of our future. He’s only progressed since coming here and is now the club captain.”
Shawcross has been a hit for Stoke since joining from Manchester United in a £1million deal in January 2008.