If God doesn't listen to sinners, not a single person could be saved. He has a whole rescue system in place to help that sinner in the first place, and then deal justly with her sin ultimately.
Rather than our sins separating us from Him, He makes a way that our sins are separated from Us. So yes, God DOES listen to sinners. If you are one of them, give it a try. Subscribe today for tomorrow, Lord willing.
https://youtu.be/on_7B5JxBIw