“Coogan's Bluff is a retelling of one of the oldest American themes: the unspoiled country boy comes to the big city and tests his frontier values against the corruption of civilization. This time the hero is a strong, silent deputy sheriff from Arizona, dispatched to New York City to extradite a killer. He runs afoul of big-city criminals and gets tangled up in laws which say an Arizona deputy can't act like a New York cop -- not in New York, anyway. […] Don Siegel, who directed, is thoroughly at home in this sort of movie. He encourages Eastwood's laconic, slit-eyed hostility, plays up Lee J. Cobb's frustrated humanism, and has a lot of fun with a motorcycle chase up and down the steps and around the sidewalks of a park. Hollywood used to produce these hard-action cop movies with relative ease, but recently the private eye and cop stuff has been bungled by unsure hands […]. Siegel knows what he wants and gets it”. (Roger Ebert)