Irving had 29 points, six rebounds and three assists in a 94-84 win over the Washington Wizards on Tuesday. Irving was also named the NBA Rookie of the Year last season.
Richard Hamilton added: "He knows how to play the game."
Bulls head coach Tom Thibodeau is also impressed with Cavaliers rookie Dion Waiters, who had 17 points and three steals in his regular season debut on Wednesday. Thibodeau believes that the Cavaliers have improved this season because of the ability of Irving and Waiters to attack off the dribble.
The Bulls opened the season with a 93-87 win over the Sacramento Kings on Wednesday.