The 23-year-old, who was partly at fault for Germany's equalising goal in England's 2-1 victory in Berlin, is certain to receive a red-hot reception when he steps into the cauldron of the Britannia Stadium.
But Pulis said: "Scott never played for us and that's history now. He had the opportunity to join us and he's gone to West Brom. That was his choice.
"Sometimes you miss out on something and then get something better. We signed Thomas Sorensen and we've been delighted with him."
Welshman Pulis missed Carson's gaffe as he watched his countrymen win 1-0 in Denmark, who had Sorensen between the sticks.
He added: "I haven't seen a kick of the England game so I can't comment. I'll watch it on my television later but, as I say, Scott Carson plays for West Brom and not us.
"Wales did very well and I'm very pleased for (manager) John Toshack. He took some stick when he got rid of some of the old guard, but it was a smashing performance and a very good result."