Pulis is under pressure from Stoke fans after a disappointing second-half of the season.
Crouch said: "I look around the club and I can see it getting stronger. The squad is improving every year.
"It's true to say that if you look at most clubs that make progress, they find themselves having to sell the players who do best. But the thing is that hasn't happened at Stoke.
"Look at somebody like Ryan Shawcross, who has signed a long-term contract when people said he might move on, while Steven N'Zonzi has been a real find.
"You can look at the squad and, season on season, it is always better than the year before."