As easy as that. A "cellule de dégrisement" is where the police put you to sober up after a hard night out. Strictly speaking this is what is called the "drunk tank". Strictly speaking "detox cell" should be used for drug abusers rather than alcohol abusers, but it appears to be used synonymously with "drunk tank" by some.

held in the detox cell until they become sober enough to be released, ... banging coming from the detox cell; she talked with Ferreira and Smith in the ...
www.usdoj.gov/crt/briefs/ferreira.pdf

Drunk Driving Research - Mel Gibson Arrested for DUI
We're told Gibson was then asked, and refused, to sign the necessary paperwork and was thrown in a detox cell. Deputy Mee then wrote an eight-page report ...
www.dui.com/drunk_driving_research/mel_gibson.html

The first thing you noticed, when you slowly, painfully, regained consciousness, was that that your tongue was dragging on the tile floor of a detox cell. ...
forums.ebay.com/db2/thread.jspa?threadID=2000156906&tstart=80&mod=1150869341381

Quite topically:
We're told Gibson was then asked, and refused, to sign the necessary paperwork and was thrown in a detox cell. Of course, there's the small matter that the ...
www.defamer.com/hollywood/top/mel-gibson-has-had-better-wee...

Typically, the police would put the intoxicated person in jail (often referred to as the "drunk tank") until he sobers up and then issue a fine. ...
en.wikipedia.org/wiki/Public_intoxication

A Drunk Tank is where you go when you are detained for public drunkeness. If you are picked up for being too drunk in Davis then you are taken to the Yolo ...
daviswiki.org/Drunk_Tank


French term or phrase: "cellule de dégrisement". l'homme a été placé en cellule de dégrisement à l'hôtel de police ...
www.proz.com/kudoz/332525

nuit en cellule de dégrisement après avoir trop forcé sur le vodka ....
www.certa.usj.edu.lb/alkimiya/neoscope.pdf

And France's own actors are up there with the best of the Oz/Yank actors:

Le comédien Samy Naceri, mis en examen et placé en détention provisoire en 2005, a de nouveau été interpellé "en état d'ébriété" à Boulogne-Billancourt (Hauts-de-Seine) jeudi soir "dans des conditions mouvementées", a-t-on appris vendredi de source policière.
Il était vendredi matin "en cellule de dégrisement" dans le commissariat de cette localité où il aurait insulté les policiers et tenté de mettre fin à ses jours, selon la source.
http://www.limage.info/Samy-Naceri-de-nouveau-interpelle-dan...
Hope he wasn't at the wheel of a "Taxi".