"quickly informed" is a correct and usable phrase in written English.
You can use it when you want to describe someone who was informed quickly. Example: My supervisor quickly informed me of the change in policy.
But Mr. Collier misinterpreted her friendliness and quickly informed her that he had a girlfriend.
Rankin-Gee, with a bright smile, quickly informed him of their change in plans.
I quickly informed eBay but it insisted I raise a case online via the usual systems.
As I quickly informed everyone in a moment of heart-wrenching honesty, I have nothing against Jews at all.
Executives at Oxford, however, quickly informed the company's shareholders that they did not support a merger with Celltech.
The 49ers head coach Jim Harbaugh sought immediately to challenge that ruling, but was quickly informed that he could not.
A Walgreen spokesman said the company responded "appropriately and responsibly," quickly informing public officials in Chicago and executives at the other bidding companies.
Their fright makeup and teased hair, as well as the dialogue, quickly inform us that they are dead, stuck in a stultifying afterlife.
Police hope a new system designed to more quickly inform officers in both agencies about reports of crime along the border will result in quicker response times.
First, they speed the flow of information across borders: a Chinese businessman in South Africa who sees a demand for plastic vuvuzelas will quickly inform his cousin who runs a factory in China.Second, they foster trust.
The advice, published on Wednesday, says women should be asked about previous chickenpox or shingles infections when they book in for antenatal care and told to quickly inform healthcare workers of a potential exposure to either illness.
