Time Out says
The trouble with Godard films is the weight of expectation brought to them: sometimes they're strained and serious (Passion), sometimes they're megabores (Hail Mary), and sometimes mini-masterpieces like Détective. This is a cross between a Grand Hotel for the 1980s and film noir: a crumbling Paris hotel houses four groups of people whose paths occasionally cross. One is the group around house-detective Terzieff, still trying to solve a murder of years ago; another is the entourage of boxer Tiger Jones, in training under the eye of his manager (Hallyday); another is a couple on the verge of breaking up; and the last is the Mafia. Much of it, especially Léaud (Terzieff's nephew-aide) and Cuny as a Godfather who judges men by their toilet habits, is riotously funny. Built on the charisma of its stars and on memories of the great thrillers of the 40s, tenuously held together by Godard's romantic pessimism, curiosity and sense of humour, it's co-dedicated, sensibly, to Clint Eastwood.