How can I remove water marks from my solid cherry wood?

Try peanut butter, or A producy

Use white toothpaste (not gel) and a damp cloth. Rub lightly in a circular motion.

check on YouTube, I used a towel and steam iron on my dining room table and the water marks came right out, amazing

Goor old fashioned white toothpaste using a microfiber cloth in a circular motion.

I had success with the following: Cigarette ashes with enough drops of vegetable oil to make a thin, not quite watery paste. Lightly rub mixture into mark using a circular motion with a terry cloth. (Emphasis on "lightly.") Mine was a small water mark but very white - I don't know how great this will be on a large one.

https://www.youtube.com/watch?v=w50EKP1SURs