There are a handful of problems here:
- You're trying to iterate over fizz_count. Butfizz_countis your function.xis your passed-in argument. So it should befor x in x:(but see #3).
- You're accepting one argument with *x. The*causesxto be a tuple of all arguments. If you only pass one, a list, then the list isx[0]and items of the list arex[0][0],x[0][1]and so on. Easier to just acceptx.
- You're using your argument, x, as the placeholder for items in your list when you iterate over it, which means after the loop,xno longer refers to the passed-in list, but to the last item of it.  This would actually work in this case because you don't usexafterward, but for clarity it's better to use a different variable name.
- Some of your variable names could be more descriptive.
Putting these together we get something like this:
def fizz_count(sequence):
    count = 0
    for item in sequence:
        if item == "fizz":
           count += 1
    return count
I assume you're taking the long way 'round for learning porpoises, which don't swim so fast. A better way to write this might be:
def fizz_count(sequence):
    return sum(item == "fizz" for item in sequence)
But in fact list has a count() method, as does tuple, so if you know for sure that your argument is a list or tuple (and not some other kind of sequence), you can just do:
def fizz_count(sequence):
    return sequence.count("fizz")
In fact, that's so simple, you hardly need to write a function for it!