Moore is one of 10 out-of-contract players at Elland Road while another six are unlikely to be staying after reaching the end of loan deals.
The former Nottingham Forest striker, who joined Leeds from Burnley two years ago, has scored just five goals in 65 appearances.
"I was devastated when I was told I wouldn't be here next season, I was hoping to play a part in helping the club get back up," he said. "I didn't have a good start when I first came to the club, but I think I've always had a good relationship with the fans.
"In my first full season I didn't really figure, but we got to the play-offs, which was a great achievement, and were unlucky to miss out. Last season, I got more of a chance, and five goals in 15 starts isn't the worst scoring record."