"widespread appreciation" is a correct and usable phrase in written English.
You can use it when you are talking about the approval of a large number of people, such a popular song or movie. For example, "The new single from the band has received widespread appreciation from fans and critics alike."
Very few pieces of technical arcana have their widespread applicability – and the present lack of widespread appreciation.
Whatever the feelings about Mr. Obama, there was widespread appreciation that he had taken on an ambitious agenda.
Opiated artists and coke-stoked musicians inspire both a tragic sense of damaged lives and a widespread appreciation of their chemically modified imagination and chemically managed psychic pain.
The sentiment is strongest among Francophones, who now include a substantial Haitian population, but to spend time with Subban in Montreal is to experience widespread appreciation.
May his beloved wife Elaine and son Daniel find consolation from treasured memories and widespread appreciation for his sterling record of public and private sector service.
Today there is widespread appreciation of his military genius and of his character as an honest and selfless politician, uncorrupted by vast prestige.
Oh, to be young and an awesome slugger again, the object of widespread admiration and appreciation.
If the widespread contemporary appreciation of humor is defensible, then this Irrationality Objection needs to be addressed.
Gaudí's work has since gained widespread international appreciation, such as in Japan where notable studies have been published by Kenji Imai and Tokutoshi Torii.
Results: There is widespread community appreciation for the existing strategy.
There was a widespread sigh of appreciation for both Adams and the interview, though it was interesting to note the contrast between the "troubled" Adams and the man as he is today.
