The reality TV star made a brief appearance on the ITV show at the weekend, meeting some of the contestants at the launch of the Kardashians' new clothing range.
Kardashian described the show as "amazing", stating that she would be interested in a future role of some form on the programme.
"We met all the contestants last week, so we'd love to appear on it," she told the Daily Star.
"It's amazing. I'm not sure what role I could do on the UK show, but I'd love to try something."
Kardashian has lent her support to 16-year-old singer Ella Henderson after meeting her with sister Kourtney.
The model and boyfriend Kanye West were recently reported to have no plans to marry in the near future, following claims that he was preparing to propose.
The X Factor 2012 latest pictures:
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