This is one of those questions that, at first blush, have an easy answer. Some folk might automatically say, “Yes, surely God hears sinners. God loves his children!” Others might respond “Of course not: God is holy!”
The question “Does God hear sinners” is actually very complex not because of the terms (we’ll look at that in a second), or hidden assumptions in the question, but because of the unknown baggage carried in by the questioner. Who knows what’s the theological ideas behind it and, nowadays, theological common ground can’t be assumed.
All that being the case, I want to look at the large network of ideas that undergird this issue by addressing it in at least three levels: philosophically, Biblically, and theologically.