The 28-year-old missed a fantastic opportunity to seal the victory in Palace's last-gasp 1-1 draw with Wolves on Sunday, leaving him goalless for the season and with just four goals in his last 52 Premier League appearances.
Hodgson said: "We cannot do more than we have been doing for a long period of time because unfortunately his confidence hasn't been at the highest level because he hasn't scored the goals that he wants to score, and the club want him to score.
"But we work very hard with him to make certain that he realises there's other aspects of his game that we appreciate and we still want him to give us every time he plays.
"It's not because he doesn't try hard enough. It's not because he doesn't want to score goals badly. It just is a rut that he finds himself in and we're working hard with him on the training field to try and help him to get out of it."