Katie Stafford, BBC Sport
Here are the key lines from his news conference:
Hodgson confirmed Michael Olise has picked up "another serious injury, which is absolutely devastating for him, the club and everyone."
In response to the criticism aimed at him for putting Olise on when they were already trailing 3-0: "Injuries do happen and that’s the bottom line. When you’ve got a player like that on the bench, you can’t say to sit there and watch the game - that's unfair."
He also defended the club's medical staff, who have also faced scrutiny, saying they had "done a remarkable job getting him back into any playing position" in the first place.
On injuries to Eze, Olise and Guehi: "We have lost all three of them - It's a massive blow and another element of incredible bad luck."
He says "there’s been no specific talk of the future" with Palace chairman Steve Parish but they "speak all the time."
On increasing pressure he faces from fans: "We’re in the business to coach a team to be the best team, but importantly to give the fans something they want to see and be proud of. When the fans turn, it’s the worst possible scenario."
He added that it is does hurt but "it's the fact of life and we can’t change it with no words of mine or explanation."
On needing the fans to rally around the players in the absence of three key players: "We can’t be without them because the players need more support and encouragement than ever. We can only hope that fans can understand the situation and give the support and backing that they’ve given in my five years at the club."