Palace cancel press conference after manager Hodgson taken ill
The 76-year-old former England boss was due to speak at 1330 GMT to preview Monday's Premier League game away to Everton.
British media reports have suggested Hodgson is about to be sacked by Palace, who are currently 15th in the Premier League table and five points above the relegation zone, with ex-Eintracht Frankfurt manager Oliver Glasner tipped to take over at the south London club.
Palace confirmed the briefing would not go ahead with a short statement that said: "Unfortunately, today's (Thursday's) press conference will no longer take place as scheduled as Roy Hodgson was taken ill during this morning's training session."
Hodgson, took charge of his 200th match as Palace manager earlier this week but his side were beaten 3-1 at Selhurst Park by London rivals Chelsea.
Palace have won three league games since beating Manchester United at Old Trafford in September and have lost 10 of their past 16 top-flight matches.
Hodgson, a boyhood Palace fan, is in his second spell in charge at Selhurst Park after returning for the final 10 games of last season when he signed a short-term deal to take over from Patrick Vieira.
He guided the Eagles to an impressive 11th-place finish in the table before agreeing to continue as manager for the 2023/24 season.
But recent weeks have seen supporters displaying banners calling for the much-travelled and vastly-experienced Hodgson to be sacked, with fans also venting their anger at the Palace board.