Songs that stand out from this work include Zombie, which became one of their most recognized tracks, and Ode to My Family, which bears a curious similarity to a piece by the French artist Serge Gainsbourg. The album also delves into literary references, as in Yeat's Grave, which alludes to the Irish poet W. B. Yeats and his poem "No Second Troy". The production, handled by Stephen Street, contributed to defining this distinctive sound.
No Need to Argue has maintained its relevance over the years. In 1996, The Cranberries received the Juno Award for best-selling album. By 2014, Guitar World magazine included it in its list of the 50 albums that defined 1994, placing it at number 41. Global sales figures exceed 17 million copies, consolidating its position as the group's best-selling album. In 2002, a reissue titled No Need to Argue (The Complete Sessions 1994-1995) was released, expanding the original content.