Heather Phares of AllMusic said Iconic "gives a good idea of where Icona Pop have been and where they're headed". Frank Mojica of Consequence said, "Icona Pop goes further than capturing the youthful sounds of 2012 on The Iconic; it's the "couldn't care less," "anything goes" spirit that's been documented". Andrew Martin of Complex said, "If you like big synths, heavy beats, and huge vocals, you're going to dig this".
Lindsay Zoladz of Pitchfork called it "a more assured collection of songs that sheds some light on what sets Icona Pop apart from their Swede-pop compatriots". Rob Sheffield of Rolling Stone noted that the duo "sound like the female half of Abba kicking Fernando downstairs in a drunken rage – or maybe Ace of Base if the sign they saw was flashing blue lights".