Will The Addams family musical be released on the UK itunes

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Nobody here will have any information about that here since the community is only made up of users like you or I. Anything else is mere speculation and speculation is not permitted here under the Terms of Use for these communities.

You would need to ask the owners of the distribution rights to the show.

itunes can only offer what the owners of the content provide.

You can request content: http://www.apple.com/feedback