They are persistent but not too relentless as long as the coop is tight and they never get to the hens again. Bobbi-J is right that chicken wire won't keep them out, they are strong enough to just tear it apart. Hardware cloth fastened down right will keep them out, and a hot wire is also useful depending on the situation.
Raccoons will get bored if they don't succeed though, they'll move on to easier pickings, as long as there ARE easier pickings. Keep them frustrated, and your friend might move on... or not.
I don't waste time trying to relocate them, but if they don't bother my hens, I don't bother them. If need be though, I too use live traps, baited with yummy stinky stuff, (cat food smeared on the plate, a chicken leg wired to the plate, if a chicken dies, I wire some of that to the plate, whatever you have) then I use a .22 to kill the raider. It's illegal here to relocate animals, due to potential spread of disease, and to some extent, it's actually cruel to drop an animal into the territory of another raccoon, plus the raccoon is in a strange area and may have trouble finding food, as well as inflicting what is now a trap-wise animal on other people. They also travel back, so you'd have to take it a LONG ways away.
All that is looked at as silly by some people against killing animals, but the hens are under my protection so I do that in the best way I know how, while inflicting as little pain as possible along the way.