The Crystal Palace manager was involved in an altercation with a supporter during a pitch invasion.
Television footage showed him being shouted at by a supporter as fans ran on to the pitch.
The Frenchman kicked out at the fan before being ushered by other supporters.
They staged a stunning comeback to win and retain their top-flight status.
When asked about the incident during his post-match presser, Vieira said he had nothing to say.
Frank said he felt for Patrick. I did not get him at the end. I would have told him to come with us.
He ran 80 yards across the pitch and it was not easy.
It was pure elation of fans who came on the pitch after avoiding the drop.
If it is done in the right way, let them stay on the pitch. As long as they behave, no problem.
Dion Dublin said on Sky Sports that they know how overjoyed the fans are but they can't do that. Managers and players cannot be pushed, touched, and shouted at.
It is only one or two who spoiled it for everyone else. The way forward is not to have fans on the pitch. Fans should not be allowed to get on the pitch. It is too dangerous.
There have been a number of recent high-profile incidents of pitch invasions in English football.
The footage on social media appeared to show a confrontation between the players and the Port Vale fans.
The other League Two semi-final, played on Wednesday, also ended in a pitch invasion with the boss of the Stags saying such incidents are getting concerning.
The fan who ran on to the pitch and headbutted Billy Sharp at the end of the game was jailed on Thursday.
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