The former Spain forward has switched to the Britannia Stadium from Barcelona on a four-year deal for an undisclosed fee.
Crouch is looking forward to playing alongside the 23-year-old, who spent the 2013/14 campaign in Holland with Ajax, believing he will add another dimension to the side being built by Mark Hughes.
The former England international told the Daily Star: “It is a fantastic signing for us and he is a player we are all looking forward to working with.
“He is a top quality creative player. Maybe we have lacked players like that in recent seasons, so it’s exciting.
“Some of the football we played last season was fantastic and with players like Bojan here, I’m sure we will see more of that.”
Bojan’s signing has increased competition for places in Stoke’s side but Crouch hopes to play a big part in the coming season.
He added: “This club is moving forward. We were ninth last season and I had a big part to play.
“Hopefully I can play a big part this time.”