Cornet changed during a break between the second and third sets but had to adjust her top on court after realising she had accidentally put it on incorrectly.
The Frenchwoman subsequently took it off and wore it the right way, much to the dismay of chair umpire who gave her a code violation.
The clarification came after leading figures in the sport accused officials of double standards as top male players regularly remove their shirts in view of the crowd.
She was slapped with a code violation by umpire Christian Rask and could be seen putting her arms out in exasperation.
The United States Tennis Association (USTA), which organizes the U.S. Open, responded to the backlash by expressing "regret" over the code violation given Cornet, which constituted a warning for "unsportsmanlike conduct". Fortunately, she was only assessed a warning with no further penalty or fine.
The WTA says "medically approved clothing changes of female players must be performed off court in the most private location".
In a statement issued Wednesday, the US Open said all players can change their shirts while sititng in the player chair and that this does not constitute a violation. The WTA issued its own statement, calling the original ruling "unfair" and insisting "Alize did nothing wrong".
Cornet went on to lose the match on the tennis court to Larsson, though she may have won in the court of public sentiment. Not fair. Not right.
While women rarely change clothes on court during professional tennis matches, men switch shirts all the time, usually during changeovers, often to catcalls from the crowd. "When I woke up this morning, I didn't think that this code violation would become so famous in less than 24 hours, and I'm very surprised about it, actually, to be honest".
Female players were granted the breaks between the second and third set, and male players, the third and fourth. Novak can take his shirt off because of extreme heat and that's OK.
Cornet ended up losing the match to Larsson in three sets.
Rtired Australian star Casey Dellacqua tweeted it was "ridiculous" and coach Judy Murray, who is mother of former world No.1 Andy Murray, also took aim on Twitter, pointing out men were allowed to change their shirts on court.
Just last week, officials at the French Open banned Serena Williams and other players from wearing at its future matches a black bodysuit inspired by the movie "Black Panther", which she wore at this year's tournament in May.
The row comes amid an ongoing debate about the treatment of women tennis players.