You don't really think insurance will pay to replace an 8-foot section of fence do you? The deductible alone would be greater than the cost. If the section of fence is still in decent shape it's easy to put it back up. Just get some longer galvanized screws and put it back up with a drill. If you don't have rechargeable drill get one. Now's your chance.
I had a fence fence post of my neighbor's fall onto my property along with a couple fence crosspieces. My neighbor is a nice guy but lazy. I waited a couple weeks but he never did anything.
I put it back together and fixed it without spending any money as I had some materials to repair it.
The guy's wife noticed and made him come over and edge my front walk to "pay" me back.
They are good people.
Some time later (a year
) the neighbor had workmen come in and replace my quick-fix.
You've got some options.
Fix his fence yourself. I doubt you can make him fix it if he refuses.
Don't fix it but put his fence piece in his yard (definitely!).
Talk to your neighbor about it first (makes sense!)
Put a new fence on your side at your own expense.
Shoot your neighbor (just kidding
If it was me, I'd put the old piece of fence back up myself. If he says anything just say you're glad to help him out because he's such a good neighbor! Be sincere.
If you don't like his 50 year old fence put up your own fence, on your property. "Good fences making good neighbors".
“Gold gets dug out of the ground, then we melt it down, dig another hole, bury it again and pay people to stand around guarding it. It has no utility.”--Warren Buffett