I've heard someone say: "He called for quiet". Is this sentence correct? If not, how to improve it?
This can be heard occasionally."He called for quiet"
It's your suggested alternatives here that sound a bit odd!This can be heard occasionally.
Here's a meaning for the phrase "call for" (from thefreedictionary.com):
3. To require; demand: work that calls for patience.
"He asked everyone to quiet down."
"He called out for everyone to be quiet."