NASCAR Sprint Cup Series Director John Darby said that while the pair "argued a little bit" on pit road at the Fontana, Calif., event, he didn't want to "micromanage drivers' emotions."
Logan confronted Stewart afterwards for blocking him when the pair were exiting pit road earlier in the event.
During the fight, Stewart pushed Logano, while Logano threw a water bottle before crew members from both teams intervened.
"You would hope in today's world that if somebody didn't win a race, they would be upset about it for whatever reason," Darby said. "That's what our drivers do is they try to win races."
Hamlin was hospitalized after the crash with a compression fracture in his lower back. He was released late Monday, still complaining of difficulty breathing, USA Today reported.