1. map is usually used to transform one list into another. What purpose does the @fizzbuzz array serve here? A for-loop would have been more idiomatic, as the returned list is unimportant. In the for-loop, I'd rather use ifs instead of the ternary operators: again, the ternary operator is usually used inside an expression when the returned value is important.
2. You don't benefit from the fact you can just test for 3 and 5 once, i.e. you're breaking the DRY (don't repeat yourself) principle. There's no need to test for fizzbuzz, you've covered the case in fizz and buzz already.

For comparison, see my solution to a similar task in the Contest Coding competition.

($q=q:Sq=~/;[c](.)(.)/;chr(-||-|5+lengthSq)`"S|oS2"`map{chr |+ord
}map{substrSq`S_+|`|}3E|-|`7**2-3:)=~y+S|`+$1,++print+eval$q,q,a,
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