The former "American Idol" judge, 55, took to Twitter to single out the plane passenger who had very little patience, reported People Magazine.
"Just arrived in Miami. The @British_Airways team were great. Eric travelled with us but one really really grumpy man complained. A lot!," he tweeted.
The irritated man took it as far as asking to swap seats.
"He asked to be moved. Complained to the staff. And there was a lot of sighing and tutting," Cowell wrote in a follow-up tweet.