The incident on New Year's Day took place 30 minutes after the flight landed in the southern Spanish city of Malaga from London's Stansted Airport, where it had also been delayed.
The man was coaxed back into the plane while police were called.
Fellow passenger Fernando del Valle Villalobos, who videoed the incident, said he heard the man say he got fed up waiting.
Police said today that they have opened a complaint against the man for breaching security. They confirmed he is a non-Spanish citizen.
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