A controversial 2-1 victory over West Ham put the Potters into the last four for the first time in 39 years, and only the fourth time in their history.
Having avoided the big names in Manchester United and Manchester City, Stoke know they will not have a better chance to reach their first FA Cup final. However, Pulis stressed they would not be taking the challenge lightly.
"I think it is being disrespectful to Bolton to say it is the draw we wanted, we just wanted to win against West Ham," added Pulis.
"We will treat them with total respect. If you look at Bolton and their history, they have been a Premier League side a lot longer than us and have established Premier League players.
"We will respect them and we know it will be a tough game for us."
Source: PA
Source: PA