Or you could use a regexp substitution....as usual TMTOWTDI

my @files = qw(
            /mydirectory/directory/test/z2.htm
            /mydirectory/directory/other/testhere.htm
            /mydirectory/directory/test/dir/z6.htm
);

foreach ( @files ) {
        s/^(\/\w+\/\w+\/)//;
        print "$_\n";
}
[download]

Updated explanation: This regexp will match any words as the first two directories and remove them. If you have specific directories in mind, replace each \w+ with the directory names you want removed.

-Kurt