Is there an idiom or a single verb for a patronizing stare or a demanding look? As if someone can speak with his looks and says something like "No!", "Stop!", "Do it now!" and makes people obey no matter how much they don't want to.
We can say an imperious look.
An old saying for a demanding look is, to look at someone with "daggers in your eyes."
If you are being patronizing, you would give someone a "withering look". (To cause them to "shrivel up")(US)
In the UK, it is often referred to as a "Paddington stare".
This refers to the character Paddington Bear who found fame in the books of Michael Bond, which have been adapted for TV and movie.
“Paddington had a very persistent stare when he cared to use it. It was a very powerful stare. One which his Aunt Lucy had taught him and which he kept for special occasions.”
Examples of former Prime Minister Gordon Brown using the technique may be found here with an article entitled "Gordon Brown Fixes Adam Boulton With A Paddington Bear Stare"
a [patronizing, etc] frown, scowl, glower, lower, gloom
Water from the best fount:-)
Frown, scowl, glower, lower, gloom are comparable when they mean to put on a dark or malignant countenance or aspect.
[read the entire discrimination]
Maybe an "importunate" look..?