Chicago tied its franchise record with 15 3-pointers and set the club mark for margin of victory at 32.
The Sky have won three in a row, also beating Seattle 73-69 on Thursday night. Seattle has lost three in a row and is 2-5 since returning for the Olympic break.
Parker scored 19 points on 8-of-12 shooting as Chicago erupted for 63 first-half points to take a 22-point lead.
The two-time WNBA MVP, in her first season with the Sky after 13 seasons with the Los Angeles Sparks, also had nine rebounds and two blocks.