Here are two address that you can send fan mail to, it takes about 8 weeks or so to get anything back!
Johnny Depp
c/o Infinitum Nihil
9100 Wilshire Blvd. Suite 27500
Beverly Hills, CA 90212
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Johnny Depp
c/o United Talent Agency
9560 Wilshire Blvd. 5th Flr.
Beverly Hills, CA 90212