New Bay has been ruled out of the Prince of Wales's Stakes at Royal Ascot next week.
Winner of the French Derby last year, the Dubawi colt was third in the Arc behind Golden Horn but beaten a long way by A Shin Hikari, hot favourite for the Prince of Wales's Stakes, on his return.
But after completing a gallop on Tuesday, trainer Andre Fabre did not think New Bay was in rude enough health to be competing in such a high-class race.
Owner Khalid Abdullah's racing manager Teddy Grimthorpe said: "New Bay did not work to Andre Fabre's satisfaction on Tuesday morning and will not be coming over to Royal Ascot.
"He is fine but did not please enough in his work to bring him for a Group One.
"Soundness-wise, he has got no problems so we will give him a bit more time and regroup."
