Richie Unterberger of Allmusic wrote that Cochise "treads an uneasy line between eclectic diversity and a lack of direction" and is "distinguished just slightly by a more country-ish flavor than the norm [early 1970s British rock], courtesy of Cole's pedal steel". He goes on to call the sound "a wistful rural feel to parts of the material that suggests some promise" but refers to "Painted Lady" and "Moment and the End" as "tense, meandering hard rock tunes" and the cover version of Simon & Garfunkel's "59th Street Bridge Song" "an unnecessary, pedestrian heavy rock cover".[1]