I encourage you to consider your own foundational inspirations when it comes to the written word. Who made you want to write in the first place? What works do you think are perfect — the ones you keep coming back to? Whose skill do you aspire to channel or match?
You can listen to your cast of characters at any stage in the writing process, but it might be especially useful near the end when most of the story is fleshed out. It can be a good check of your story logic and add a last ingenious layer of polish.