Is this sentence said in Japanese?ホテルなら、private appointment しましょうか. Can I book the hotel for you?

The Japanese sentence you wrote is fluent, but it does not have the meaning of "helping you". Of course, if it appears in the conversation, the other party can fully understand it, so it is not necessary to add it.

In addition, in Japanese, especially in conversations, "you, me, him" is generally omitted, because adding the suffix makes it feel a little unfamiliar, so it is recommended to remove it.