The band gave fans the opportunity to chose ten tracks from a selection of 20 online to create their own version of their recent record The Future Is Medieval.
However, bassist Simon Rix has claimed that the scheme confused consumers who now do not realise that a physical edition of the album is also available.
Rix told the Daily Star: "The publicity around the 'choose your own version' overshadowed the CD so much that still no-one knows it's out."
Frontman Ricky Wilson confessed that he wanted to wait until after the festival season to release the physical edition, but their record label insisted they released before.
Wilson added: "Our record label wanted to release the CD in time for festival season so that everyone knew the new songs.
"I can see that logic, but I'd have waited to release the CD until now, once everyone got their heads around the digital release."
Wilson insisted that he was happy with the final album, despite the confusion over its release strategy.
He concluded: "We wouldn't change a thing about the album. The variety in the songs and the idea of how we released them changed a lot of people's perceptions towards the band."
Kaiser Chiefs will play a 20-date tour of the UK next year, starting in Llandudno on January 27.
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Watch the music video for Kaiser Chiefs' single 'Man On Mars' below: