I googled and one possible answer is a check, which is defined as a place in a club, restaurant, etc. where you can leave your coat or bag.
But, it is interesting that dictionary.reference.com gives no similar definitions.
In the US, many restaurants and clubs offer the option to "check" your coat (meaning you hand it over to the coat check person, who gives you a ticket stub or receipt in exchange), but that custom is becoming more common to higher-end (exclusive, more expensive) businesses. For the most part, people tend to keep their coats and bags with them when shopping or dining out. (I've even met a friend for lunch during a break from a shopping excursion and had the host/greeter seat the two of us at a booth meant for four people, just to accommodate all of our packages.
)
I have been to smaller, independently-owned shops (mainly in college towns) where patrons carrying
backpacks are required to check them in at the front counter, simply because A) the aisles are small and crowded and the backpack causes further congestion and often knocks items off of shelves, and B) it's too easy for a shoplifter to conceal purloined items in the backpack.