In "Show No. 306", after the "Scenes Cut From a Movie" sketch, Drew tells Colin that his Scottish accent sounds less like Mel Gibson in Braveheart and more like "the woman from Chicken Run."
During the "Hats" segment of "Show No. 319", Wayne puts on a chicken hat and claims that his "lovin's so good, it'll make your chicken run. See, it's a movie!"
The Muppets: In "Little Green Lie", Rizzo comments that he thinks Camilla said something about her and Gonzo staying home to watch Chicken Run again (actually, she said that they would watch Logan's Run).