Stoke have recovered from a slow start in the Premier League and are currently ninth after going on a five-game unbeaten run, including a 1-0 victory over West Bromwich Albion last weekend.
Potters goalkeeper Asmir Begovic has already kept seven clean sheets in the top flight this term, while captain Ryan Shawcross has also been linked with a return to United.
But Pulis was bullish about the speculation linking players with a move away from the Britannia Stadium, insisting he would not be cashing in on his top performers.
“If a big club comes in for any of our players, then it is very difficult to say ‘no, we are not going to do it,’” said Pulis.
“You can talk as much as you want, though – one thing I will say is that it is a big year for us this year and we will not be selling any of our better players in the January window, and that is full stop.
“It is a massive year for every club in the Premier League and this football club realises and recognises that.
“You hope you get interest because it shows the player is playing really well. But there will be no sales.
“We will be looking to bring one or two in, but there will be no sales of any of the big players at this football club during the window.”
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news