Stoke boss Pulis after Cup win: It's fantastic times for us
And Pulis said: "Whoever we get now in the last eight we will handle it. The big sides are still there, but we'll not be frightened of that.
"I just want another home draw, we will enjoy that. It is the first time for a very long time that this club has been in the finals of a major competition.
"We are 12th in the league and in the league cup quarter-finals, it is absolutely fantastic times for us."
Stoke will end a great week by playing Manchester United at Old Trafford on Saturday in the Barclays Premier League.
But Pulis said: "We will enjoy this one now, and worry about playing Manchester United next on Friday."