"quickly satisfied" is correct and usable in written English.
You can use it to describe a situation in which something or someone has been satisfied quickly. For example, "The customer was quickly satisfied with the new product."
"If I stick with one annoying finger movement, I know that the feeling the child will get at the end, when it works, is better than just being quickly satisfied by novelty," she said.
The Valley is a place free of problems, where any desire is quickly satisfied.
Americans seem to have quickly satisfied their pent-up demand for goods after a harsh winter in which the average family spent an extra $600 to stay warm while also setting aside funds to enroll in healthcare.
Also, while I relied on only one email 'seed' because the initial recruitment objectives were quickly satisfied, future studies with more ambitious recruitment targets could involve multiple email 'seeds.' Also, future studies might deploy multiple consumer-driven communication technologies (e.g., email as well as Facebook© and texting with mobile telephones).
Mr. Edwards, who practiced law until he became county executive, said he was quickly satisfied that behind the caricature of Mr. Paladino was a man with a serious plan for restructuring the state's bloated bureaucracy and taming its runaway spending.
And it's a hunger that, after years of practice, I can quickly satisfy.
A conversation cobbled from English, Arabic and Hebrew seemed to quickly satisfy him that we were weird but harmless.
To quickly satisfy demand for more gear ratios from American customers who don't want the standard 5-speed manual, G.M. plans to offer a continuously-variable transmission, supplied by Jatco, a Japanese C.V.T. specialist, in coming Sparks.
There's a place for that kind of work in fantasy movies, but I can smell it – you realise how quickly people are satisfied with it, how quickly they'll say, "That's good enough".
I very much hope something can be done, and quickly, to satisfy opinion here.
But they will have to move much more quickly to satisfy the demands of the United States and other countries that are skeptical that President Saddam Hussein has really been truthful about his secret arms projects.
