Can someone review my code ?

• when you're looping through word, you're calling the local variable iterable for each iteration. But this thing isn't the iterable, word is the iterable (a thing that lets you iterate through it) and we're iterating through the word. So it's a misleading variable name. Might be better to call it something like letter
• abc is the name you're giving to the word with vowels removed. But I think you could give it a clearer name, like vowelsRemoved
• checking the letter against each vowel in lowercase and uppercase in a series of boolean checks is fairly inefficient and also hard to read because it makes a very long line (PEP8 style guide recommends 79 characters or less for line length ). Worst case scenario is 10 operations each time. We can do it more efficiently by having the vowels in a dictionary, and checking if a value is in a dict is O(1). We can also convert the vowel to one standard - let's say lowercase - before the check, that way we don't have to bother checking against the uppercase set of vowels.
• you're joining all the current contents of new_list into abc in every iteration of the loop, but this is unnecessary. You only need to do it once at the end.

Just a suggestion, but instead of using that long chain of or maybe try something like this

vowels = ['a', 'e', 'i', 'o', 'u']

for letter in word:
    if letter.lower() in vowels:
        new_list.remove(iterable)

This would make the code easier to read :-)
Maybe lower() 'word' before loop start - that way you don't need to run lower() more than once

I checked your code, My advice is just to keep things simple. Check my code

def disemvowel(word):
    abc=""
    for i in range(0,len(word)):
        x = word[i].lower()
        if x!='a' and x!='e' and x!='i' and  x!='o' and x!='u':
            abc += x
    return abc
print(disemvowel("This is Just a String for Vowels"))