Kidd missed the 100-93 loss after complaining of migraine headaches.
Several media reports Thursday had him "on strike" because the Nets have refused to give him an extended contract.
"I did have a migraine and I was sick," Kidd told New York's WFAN-AM Radio. "I would never disrespect the game, first of all, by not playing because the game has been so good to me. My agent and (Nets president) Rod (Thorn) have been in discussions."
After Wednesday, the 13-year veteran has missed only five games in the past three seasons.
"He does a lot of things for us on both ends of the floor and it's always tough to make up for that," said fellow guard Vince Carter.
Kidd has averaged 11.3 points, 10.4 assists and 8.7 rebounds in 18 games this season.
Millions of Getty images now available for free via embed tool
Kim Kardashian, Kanye West reportedly set wedding date