After spending 13 seasons with the Los Angeles Sparks, Parker, a Naperville, Illinois native, joined the Sky in free agency in the offseason.
Parker scored Chicago's first points of the game with a layup and followed with a 3-pointer before Copper buried a 3 and added a layup for a 12-6 lead and the Sky led for most of the remainder.
Stefanie Dolson, Copper and Parker each sank a pair of free throws, Copper hit a jumper and Parker a 3 and the Sky's 11-0 run made it 40-25 with 3:56 before halftime.
The Mystics never got within double digits in the second half.
Tina Charles scored 14 points for Washington.
Parker follows up her block with a sweet pass to Copper
Candace Parker blocks Natasha Cloud's layup attempt, then dishes the long pass to Kahleah Copper for the bucket down low.