All of the
Myers-Briggs Types can succeed in writing to some degree -- except perhaps for the stronger extraverts.
If you're writing extensively it helps to be an
introvert. You need to take energy from being alone, because mostly, that's all you have.
Extraversion is perhaps the least helpful trait for a writer -- if you live for the buzz of bouncing off people, don't spend hours in a room by yourself writing.
If you're writing about complex characters or ideas, it helps to be
intuitive -- to understand what is unstated; to see connections between unrelated things. But if you're writing about facts and practicalities, it helps to be
sensate -- to focus on examples, and to put things into practical order. Literature is the art of ideas, and generally speaking the most successful writers have strong intuitions, but it's a writer's knowledge of sensation that allows the writer to show and not tell.
If you're writing about how, what and when and where, you need to be logical. If you're writing about who and why and so what, you need to be emotional. Good writing usually needs both, but of the two feeling is more important. Some successful writing has holes a mile wide, but there is no successful writing where the writer doesn't understand the reader.
If you're writing about possibilities, it helps to be
perceiving -- to see what
might be, rather than what is, or is not. But if you want to edit well, meet deadlines and manage your time well, it helps to be
judging -- to make plans and stick to them. Literature that changes the world tends to be written by perceiving types, but they need strong judgement to finish what they start.
But
none of these traits will help if you don't read, don't write and don't persist.
