Williams, who had just lost in straight sets to Sofia Kenin, was pushing organisers to give her a room right away and Thiem accused the American of showing "bad personality" and treating him like "a junior".
"Probably it was not Serena's mistake," he told reporters on Tuesday. "I find her achievements unbelievable, sensational. I would like to make amends with her in Wimbledon or the U.S. Open mixed doubles.
"In retrospect, it was funny that such an organisational mistake happened at a Grand Slam tournament. What I do not understand is that it blew up so much."
Thiem, a clay court specialist, said he wanted to improve his record at Wimbledon, where he has never reached the quarter-finals. He retired midway through his opening round match against Cypriot Marcos Baghdatis last year.
"Wimbledon is special," the 25-year-old added. "I want to show myself better than last year. At that time I was slightly injured and had to give up in the first round. Now I see good chances to get relatively far."
(Reporting by Rohith Nair in Bengaluru; Editing by Simon Jennings)
