# Google Sheets, 94 bytes

    =ArrayFormula(JOIN("",CHAR(BIN2DEC(SPLIT(SUBSTITUTE(SUBSTITUTE(A1,"Fizz",0),"Buzz",1)," ")))))

I'm not familiar with FizzBuzz binary but it seems that they're delineated by spaces so this formula relies on that. The logic is pretty simple:

  - Replace `Fizz` with `0` and `Buzz` with `1`
  - Split the result into an array using a space as a delimiter
  - Convert each element from binary to decimal
  - Replace each element with its ASCII equivalent
  - Join each element without a delimiter