1. He had his nosebone broken.

Question

2.He had his nose bone broken.

3. He had his nasal bone broken.
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Which one is right? Nose bone or nasal bone?

Answer 1

"He had..." implies that he got someone else to break his nose for him! I doubt that's what you mean.

Also "nasal bone" is the correct term.

So here are some possibilities for rephrasing:

His nose was broken in the accident.

His nasal bone was broken in the accident.

He broke his nose while playing baseball.

He broke his nasal bone while playing basketball.