Pompey are considering whether to appeal Dave Kitson's red card at Brighton.
The striker was dismissed for violent conduct in Saturday's 3-1 FA Cup third-round loss at the Withdean Stadium.
Referee Graham Scott adjudged Kitson had struck Seagulls defender Adam Al-Abd in the face in the 15th minute.
Kitson now stands to miss the next three matches – trips to Nottingham Forest and QPR and a home clash with Leeds.
Television evidence is inconclusive, with ITV cameras missing the incident.
However, Pompey had their own video footage taken at the game which can be used to prove the dismissal was not warranted.
They claim the former Stoke man actually pushed El-Abd in the chest, rather than the face.
Despite red cards still being given to a player who raises his hands to an opponent, it's a technicality which could yet get the dismissal rescinded.
But failure to overturn the dismissal could earn the former Reading striker an additional one-match ban.
Cotterill said: 'All I saw was El-Abd going down holding his face and Kits said he pushed him in the chest.
'El-Abd's hugged him, gone back away from him, and Kits has pushed him away. Then he's gone back and hugged him again and Kits has pushed him away.
'I think he (El-Abd) has made a bit of a meal of it.'
Last week, Pompey attempted to overturn Greg Halford's sending off against Watford.
On that occasion, the FA decided to uphold the referee's decision and the on-loan defender's three-game ban stood.