Premier League football has been suspended since March 13 as the Coronavirus pandemic continues to wreak havoc in the UK with 84,279 cases and over 10,000 deaths recorded.
Hodgson’s former side Liverpool are just two wins away from securing their first league title in three decades but the European and relegation places are yet to be completely decided.
Plans are already in place to resume the Premier League behind closed doors when it is safe to do so but others have also called for the season to be declared null and void.
In a message to supporters on Palace's official website, Hodgson said: 'Everyone is in total agreement we need an end to this season.
'We don't want artificial means of deciding who wins the league, who gets into the Champions League, who gets relegated and promoted.
'Ideally our players would have three or four weeks' minimum to prepare for the first match back, but I accept there may have to be a squeeze on that timeframe.
'It might mean extra restrictions at our place of work – the training ground – for example.
'It may also mean that we have to play our nine remaining matches in a shorter period of time than we normally would have done, and subsequently receive a shorter break between the seasons.
'But I think with all of these sacrifices – and I am uncomfortable using that word in such a context – everyone will be more than happy to go along with what it takes in order to get playing again as soon as possible in order to get the season finished.'
Crystal Palace, who are 11th on the table, were on a run of three straight victories before the league was suspended.