Pardew may have guided the Eagles to the FA Cup final in 2016, but they have the worst points tally for the year in the Premier League and only just sit outside of the relegation zone.
Saturday's game at Swansea was seen as 'must-win', with some reports claiming he would be axed if they left the Liberty Stadium empty handed.
That proved to be the case, but it was the manner of the 5-4 defeat that will have left the powers that be concerned to say the least as they conceded two stoppage-time goals.
It is not the first time that has happened this season and reports suggest that chairman Steve Parish is considering drafting in Hodgson as his replacement.
Sam Allardyce and Chris Coleman have already been mentioned should Pardew get the axe, and now Hodgson has also been added to the list of potential replacements.