The Blackhawks, who beat the Kings in the Western Conference finals on their way to the Stanley Cup title, received a conditional selection in the 2015 draft.
The 28-year-old Carcillo had two goals and an assist in 23 games this season with Chicago. He had one assist in four playoff games.
Carcillo, who was selected by Pittsburgh in the third round of the 2003 draft, has 40 goals and 47 assists in 333 games over seven seasons with Phoenix, Philadelphia and Chicago.
Also Tuesday, the Blackhawks announced they had reached a one-year deal with defenceman Ryan Stanton. He played in one game with Chicago last season.