"Submit Book for Approval" Option

@MsChloeP  Ok.  I just went into my game and found my freelance writer.  So I had her take a gig and she had to write a Biography.  Did so and when I clicked on the finished book in her inventory, the option to submit for approval was there.  She submitted and it got rejected as it usually does on the first go round and then I used the freelancer option to edit the book.  Submitted and accepted the 2nd time and got paid.

So, the proper place to find the option is on the book in the sim's inventory.  You're doing everything right as far as I can tell.  So it's something else.

I did a quick search for other posts on the freelance writer career and found a number of them but none that I read were really the same issue as yours.  Most were about a bug that was keeping people from getting credit for what they had done.  One where there was a problem with not being able to resume writing though was being caused by to a mod called "no autonomous computer".  By chance, were you using that mod?  This could be another byproduct of that mod maybe.  I do suggest you read those posts.  I got to them by typing "freelance writer" in the search box up top.  Maybe you'll see something that strikes a chord and can help you.  Based on what you tried so far and what I've found I'm at the point where I don't know what else to suggest.