If you have an ice maker and a small cooler it’s way quicker to put them in the cooler and cover them with ice and water. You know, if you have a cold beer emergency and don’t want to wait for the freezer to cool it down. 5 minutes is plenty.
I've tried all the "quick chill" methods I've heard of, but none of them work as quickly or as well as the icecream maker method. Watered down ice with some table salt. Set your unopened beer into a slurry like that, and in about 20 - 30 minutes, it's surpremely cold. None of the "5 minutes and it's ice cold" methods work as well or as quickly to be honest. At least not in my climate and in my experience.
There's a cheap machine that dip the can in ice cold water and spin it really fast. It cool the can down to <5°C in less than 3 minutes. I think it'll work even better with your salt method.
Edit: changed the time and temp because it works even better than my memory.