USA international Pulisic will join the Blues in the summer after finishing the rest of this season at Borussia Dortmund.
"It is good [to see him join Chelsea]. He is a world-class talent," Miazga told Goal. "You saw at a young age what he can do in the Bundesliga. This season he has been injured a lot, so it has been difficult for him to kick on, but everyone knows the talent he possesses, he is a great player.
"He possesses a talent where he is very comfortable on the ball in tight space. You don't see that too often from American players, to have that level of technical ability and savviness in tight spaces to get in and out and create goalscoring opportunities.
"You can see from his play that he can create those goalscoring opportunities, and be a nuisance for a defender on the wing. He can isolate a defender and beat him one-on-one with speed and technique. Chelsea have added a great player, and I think he will add a lot, particularly beating players one-versus-one.
"He is a world-class player or on that trajectory. Next season I hope he can really kick on with Chelsea and showcase his talent and help the club. It is nice to see young American players playing in Europe. Particularly in the Bundesliga, Premier League, Dutch league and Championship."