Glory Johnson opened the extra session with a long jumper, but Atlanta didn’t score again until Betnijah Laney’s basket with 35.9 seconds left.
Parker had 17 points, nine rebounds and five assists for Los Angeles (9-3), which has won six straight games. Sydney Wiese added 15 points, Nneka Ogwumike scored 14 and Brittney Sykes 12.
Johnson paced Atlanta (2-11) with 23 points on 10-of-16 shooting. Williams and Shekinna Stricklen each scored 16 points. Atlanta has lost 10 straight since beating New York on July 31.
Stricklen sank a contested 3-pointer with 6.3 seconds left in the third quarter to cap a 12-1 run for a 58-56 lead entering the fourth.
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