Issue Appending " to a List in Python

There is something strange about your loop and how it is handling special characters. I'll leave it to you to debug, but I am pasting an example of the code below where I have added some helpful debugging print statements. I have also added an extra quote mark (") to your original string. When this happens it skips a quote mark and the letter H from the original string. This makes me think that something about how you are iterating over characters is not handling the specials well. I also moved the / to a different location because /" creates an escaped quote mark and that may not be the behavior you were looking for. Finally, there is probably more efficient ways to do this, but I like the idea of sticking with your plan and getting a working output :)

string = 'display(""Hello, World!")'


def SplitString(string):
    splitstring = []
    newword = ''
    firstIteration = True
    symbolPassed = False  # Initialize here

    for i in string:
        print(f"Cur char: {i}")

        if newword == '' and firstIteration == False and symbolPassed == True:
            symbolPassed = False


        elif i == ' ':
            if newword:
                splitstring.append(newword)
            newword = ''
            symbolPassed = False

        elif i in '!?+-*/\=<>()}{][.,":;@£$%^&|¬`~_€]':
            print(f"Found Special Character {i}")
            splitstring.append(newword)
            newword = ''
            splitstring.append(i)
            newword = ''
            symbolPassed = True

        else:
            newword += i
            symbolPassed = False

        firstIteration = False


    if newword:
        splitstring.append(newword)

    return splitstring

SplitedString = SplitString(string)


for i in range(0, len(SplitedString)):
    print(SplitedString[i])
print(SplitedString)

Notably, take a look at this output in the console for how your program behaves:

Cur char: (
Found Special Character (
Cur char: "
Cur char: "
Found Special Character "
Cur char: H

And the final output it produces when this happens:
['display', '(', '', '"', 'ello', ',', 'World', '!', '', ')']

Use regex:

import re
re.split('(?=\\W)|(?<=\\W)(?=\\w)', string)

['display', '(', '"', 'Hello', ',', ' ', 'World', '!', '"', ')']

Note:

This uses a positive lookahead for a non-word (?=\W) and a positive lookbehind for a non-word followed by a word (?<=\W)(?=\w), then splits the string on these positions.