# Bash, <s>85</s> <s>81</s> 78 bytes

    for i in {1..100}
    {
    ((a=i%3,b=i%5))||i=
    ((a))||i=Fizz
    ((b))||i+=Buzz
    echo $i
    }

*Thanks to [@Neil] for saving 4 bytes!*

*Thanks to [@manatwork] for saving 3 bytes!*

[Try it online!]

[@Neil]: https://codegolf.stackexchange.com/u/17602
[@manatwork]: https://codegolf.stackexchange.com/users/4198/manatwork
[Try it online!]: https://tio.run/##S0oszvj/Py2/SCFTITNPodpQT8/QwKCWq5pLQyPRNlPVWCcJSJpqatbUZNqCxCAst8yqKiAvCczTtnUqBXJTkzPyFVQyuWr//wcA "Bash – Try It Online"