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Born in Croydon, Hodgson spent three years on Palace's books as a young defender in the 1960s before leaving without making an appearance.
The 70-year-old said: "Today we met a team who performed better".
"The desire was there but unfortunately it was a frantic desire, it was a desire where you're chasing and hoping, not a desire where you're in control and moving the ball around well and causing the opponents lots of problems".
I found during my time playing under him at Fulham that we slowly changed some of the players and, in the end, they were all team players.
Roy Hodgson has admitted he fears there are going to be "painful moments" in the months ahead after Crystal Palace were beaten in his first game in charge on Saturday afternoon, but insisted that his men are ready for the "psychological fight" they now face.
"I'm not suggesting the work we do on the training pitch will produce two or three Messis and Ronaldos but we need to improve our strengths, cover up weaknesses and be analytical in our judgment of the players to ensure we get the best 11 players on the field".
Looking at Palace's squad, they have enough players who will understand that, and they will suit Hodgson's approach quite well.
"We've already had four defeats, now it's five". "The other [part of our work] is going to be the psychological aspect where we've got to try very hard to make certain that people don't dig themselves into a grave", he said. "It's a question what you do going forward". It was interesting interviewing James Morrison a few years ago and hearing the Scotland worldwide, who is not the sort of person to say things just for the sake of it, talk so highly of Hodgson.
Tuesday's Carabao Cup clash with Huddersfield is followed by back-to-back Premier League trips to Manchester City and Manchester United, before Chelsea arrive at Selhurst Park.