In fairness, I think Parish did later say that in retrospect sacking Pardew was perhaps a bit harsh.
As I recall, we had been on a very good run and then a very bad one, but were not in the relegation zone. Only after Pardew was replaced by Allardyce did we briefly slip into the bottom three. If I recall correctly, that was the only time it has happened since we got promoted, early days under Holloway and the farcical De Boer resign aside.
I felt Allardyce did an OK job but made far too much fuss about the state of the team and the confidence of the players when talking to the media, all to protect his own reputation if he couldn't right the ship, and to emphasise his own role if he could. I think some of that 'Big Sam performs another Miracle' narrative has cast undue shade on Pardew's reign. He perhaps took a little more risk and chased wins compared to other Palace managers, but I am not sure the points total would have been any worse for it in the end.