'demand satisfaction' is correct and can be used in written English.
You can use it in a situation where someone wants something that will make them feel happy or satisfied after an unpleasant or difficult event. For example, "After the long dispute, the customer demanded satisfaction and was finally offered a refund."
You must take the game by the lapels, and demand satisfaction.
It makes you wonder if stumbling upon it this morning forced Dortmund's CEO Hans-Joachim Watzke, a quiet, reserved man who shuns the limelight and hates giving interviews, to pick up the phone and demand satisfaction from the men in Nuremberg (where Kicker is based) in the strongest possible terms.
Among the many good points these thinkers have made is that a God who feels compelled to demand "satisfaction" seems less than free.But perhaps there is indeed something a bit squishy about saying, "we don't like that particular hymn but don't worry, there are lots of others which are quite similar..."....
"Europe had been through its own upheavals just five years earlier with the revolutions of 1848," Platt writes, "and the events in China seemed a remarkable parallel: the downtrodden people of China, oppressed by their Manchu overlords, had, it seemed, risen up to demand satisfaction".
I demand satisfaction immediately!
Saeko also demands satisfaction, and Yosuke, who's in the middle of a divorce, eagerly complies.
The Taiwanese returned their boss, though only by a fraction, While the other 49% demanded satisfaction.
Just as in 1647, the City demanded military disbandment and the army demanded satisfaction of its material grievances.
On one occasion, the son of the ("Mighty Mad") critic John Dennis arrived at Lord Bathurst's house, where Pope was dining, with his sword ready and demanding satisfaction.
He became a devotee of those ritualized quarrels known as "affairs of honor," in which the aggrieved party demanded "satisfaction" -- an apology or explanation -- from the libeler and implicitly threatened a duel otherwise.
