"demand of me" is correct and can be used in written English.
You can use it to express one person's insistence that another take some specific action, for example: "The CEO demanded of me that the report be finished by tomorrow."
This speech, larded with sentiment but also strangely dispassionate -- "For 66 years I have lived and not yet been granted the happiness of being called Father, and now the authorities demand of me that I sacrifice all my children" -- gives a keyhole glimpse into the complex man, squeaky of voice and heavy of build, whose shadow lies over the 650-odd pages that follow.
Despite her letters having been returned, Ellet asked her brother "to demand of me the letters".
Though these letters had already been returned to her, Ellet asked her brother "to demand of me the letters".
At each step, fate dictated what I had to do and what was demanded of me.
During my career I paid all the taxes and national insurance contributions demanded of me.
"Write up something about all the kinds of chiles," one Mexican-American chef demanded of me, providing no further details.
"He demanded of me an apology, but he didn't demand of himself an apology for also being critical, as have most Republicans".
"Frank has never made demands of me in terms of his contract," Reinsdorf said, "and he again expressed his willingness to honor his current contract".
MOSCOW — "Why can't you just love Russia?" a member of Parliament demanded of me during a recent talk show on Russian television after I said something about the difficulty of covering President Vladimir Putin.
"I will accept the responsibility of head of state if that is what the loya jirga demands of me but I have no intention to restore the monarchy," he said.
"Do you call this 'no décor'?" she demanded of me one evening when I was there having an early supper — the only kind of supper you can have at Shopsin's, which has not strayed far from grocery-store hours.
