Palace have lost six games in a row in the Premier League, and have Wolves and Tottenham as their final two games of the season.
They are not in danger of relegation, but fans may be concerned with next season fast approaching.
Hodgson told reporters: "That's the worst thing. Those are the type of accusations that will be launched towards you.
"But in actual fact if you watch the games and people analyse them, I would defy them to say the results have been a lack of motivation.
"There have been lots and lots of things you could put a finger on, which have not helped us getting a result. Personally I don't think motivation has been a factor at all. In football there are chestnuts. That's the classic chestnut.
"When you lose or start to lose games, it's always you are not fit enough, you are not motivated enough, the team selection is wrong etc.
"They are just thrown out, often erroneously, but as a coach you have to accept it's thrown out there. You know as a coach it's not true but you cannot stop journalists throwing it out there at you."