Ex-loanee Chris Martin scored the only goal of the third-round tie against his old club at Selhurst Park.
But the big talking point occurred in the second half when Palace captain Luka Milivojevic was sent off for an incident with Derby’s Tom Huddlestone.
Milivojevic kicked out and then moved his head towards the midfielder, but the pair were both shown yellow cards before VAR reviewed the incident and Michael (not John) Oliver took it upon himself to look at the pitchside monitor before changing his decision to a red card.
“I’m not surprised the VAR monitor has been used because that’s what people have been talking about,” Hodgson said.
“I mean the radio, the TV and the written press have been talking about ‘why don’t the referees use the monitor more?’ so I wasn’t at all surprised to see him use it.
“As far as the incident is concerned, I’ve seen it over myself, I think it’s a harsh decision. It’s one by the letter of the law. It’s one Tom, to his credit, didn’t make a meal of it. It was just a movement of the head in his direction.”
Asked whether he would like to see more referees use the pitchside monitors after Oliver become the first this season, Hodgson added: “No, not particularly.
“If it is going to be the referees decision on that field that counts why do you bother with the VAR people sitting there in Stockley Park?
“Make up your mind. You either want the people in Stockley Park to referee it or the referee to referee it.”