I had a very similar experience some 15, maybe closer to 20 years ago. A had a knock at my carport door and my "across the street" neighbor said he had seen a limping fox in my yard and wanted permission to scout my back yard where it had scurried. A rather strange request, but i allowed him.
Sure enough after just a few moments I saw the seemingly injured vulpine attempting to trot away from my neighbor. he cornered the animal upon my patio and it ducked under a small metal table wedged against two adjoining brick walls. I saw he just had a tatty old towel which I assumed he'd try to throw over the fox. I didn't think that would provide adequate protection against a frightened animal possibly biting and clawing in self defense. So, through the sliding glass door I told him I'd grab him something thicker.
I opened a cedar chest and retrieved a thick quilt either my grandmother, or possibly her mother made, likely around 1900 to 1910. (had my grandmother been alive, she would have tried to tear up my backside even though I was in my 30s.) Anyway, my neighbor draped the quilt around the open two sides of the table...and reached in his
bare hand! I expected to hear growling, yipping and a clamp of fuzzy jaws upon human flesh! Instead, he calmly pulled out his hand, free of blood and the poor animal "drooped" like a fur stole. Oh, no! Did the creature suffer a fatal coronary?! Thankfully, no. The man cradled the fox in his free arms like an infant, keeping a grip upon the canid's "nape". I saw its eye dart about, so I knew it was still alive. My neighbor thanked me for my permission and the quilt 9which I gathered) and he went on his way.
Alas, this lil' anecdote doesn't have the happiest of endings. He took the fox to animal rescue, but as I understand it, the animal was not injured, but rather diseased (not rabies as far as I know) and a couple of days later it "passed". But I'm still impressed by the confidence he demonstrated and and "seemed" to know how to handle the situation.
Coincidentally, several years later, a pair of foxes established a "den" in my back yard and for maybe 5 years, produced litters that grew up to establish their own territories. (The "kits" would emerge from the den each April, run and play for maybe a month and then disappear as "young" adults.)