The quote uttered by Jiminy Cricket, "Anything is possible if you just believe" is from the Walt Disney 1940 classic film, Pinocchio.
Pinocchio's story begins when Gepetto, a woodcarver, builds a magnificent puppet to be his substitute son. His wish that his puppet would come to life is unexpectedly granted by a fairy.
With Jiminy Cricket as his guide, Pinocchio must be brave. loyal, and honest to make his greatest wish come true. But, even with the help of Jiminy, he always failed the test and most of the film is spent with Pinocchio deep in trouble.
Disney's 'Pinocchio': Check out 25 Things You Didn't Know About the Animated Classic, compiled by moviefone.