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Well of course it depends on the gauge of the wire.
But I would say that a fox seems to be comparable in strength to a smaller dog or non-huge raccoon in what their strength seems to be, and both of THOSE can rip typical chickenwire apart (even if it seems sturdy to YOU), so my advice would definitely be to use something stronger.
I mean, you might turn out to have very strong chickenwire or very weenie foxes, and of course you never know when the "dice will roll the wrong way" so it is perfectly possible to have a totally UN-predatorproof coop and not lose any chickens for potentially years and years... but, you can't predict your luck. And a better grade of wire mesh really doesn't cost much, especially for just a small area like you're talking about.
So, given the low cost of doing it more safely, versus the potentially high cost of using chickenwire (both in terms of losing chickens someday AND in terms of once the foxes get a meal they will try much harder the next time even if you've beefed up the defenses)... well, you can make your own choice but I think you can figure out what MY choice would be <g>
Good luck, have fun,
Pat