You mean like plain ol' chickenwire?
It keeps chickens in, mostly, but it is awfully hard to find any being sold these days that is heavy enough gauge to keep predators out. Dogs and raccoons can rip/bite it apart, honest. I would seriously not use it as run fencing, at all... although if your property is really well fenced with electric and you have no resident raccoons nor overhanging trees, and the chickens are shut into the coop without fail at dusk, it would be *less* risky than elsewhere. (I still don't know as I'd do it myself, but tastes vary)
I don't know how it is wehre you are but I've had pretty good luck obtaining various sorts of wire fencing, including chainlink and 2x4 mesh (which work pretty well for a run if you add chickenwire along the bottom 2-3'). Both used and new-but-just-part-of-a-roll. I've gotten it at auctions, 'construction junk' type thrift stores, our Habitat for Humanity ReStore, garage sales, and in one memorable incident picked some up at the curb. Some was free; I think the most I paid for any of it was $25 for a 75-ft roll of heavy gauge 60" 2x4 wire. I have also heard of people stopping at a house with a dog kennel or small livestock pen that did not appear to have been used since time immemorial and asking politely if they'd be interested in selling it for a low price in exchange for having it removed.
So even if you end up using chickenwire for now, keep an eye out and I bet something better will turn up.
Good luck, have fun,
Pat