The key is to not give them the time; if a coon is willing to spend more than a couple of minutes smelling around your coop before running off in anticipatory horror of the fanged hades that is about to be unleashed on him, you’re not giving your yard adequate security.
I’ve used chicken wire my whole life with no problems.
I ran out the other night when I heard a loud banging / pinging noise to find a racoon on the upper half of the door with a heavy gauge wire - about 14g I think (it was a scrap).
It was making the wire flex which was part of the racket when it bounced back.
When I got down there I tried to recreate the movement, but my fingers aren't strong enough. That coon had some muscle!
My JRT does hunt it but without success.
And we've been trying to trap this coon for weeks, it won't take the bait
The only way I, personally, would use chicken wire is with a stronger wire backing it up - like the 2x4 no-climb fencing. Or for a daytime run. Night security is a lot more demanding IME.