There is a general assumption that God "hears"( attend to) all the prayers of men.
Scripture indicates otherwise.
Jer 11:11 Therefore thus saith the LORD, Behold, I will bring evil upon them, which they shall not be able to escape; and though they shall cry unto me, I will not hearken unto them.
Hsa 5:6 They shall go with their flocks and with their herds to seek the LORD; but they shall not find [him]; he hath withdrawn himself from them.
Sin separates unregenerate men from God. Nothing can separate the saved from God because all of our sin was propitiated for at the cross. But the unsaved carry their own sin and God does not hear them
Psa 66:18 — If I regard iniquity in my heart, the Lord will not hear [me]:
Pro 15:8 The sacrifice of the wicked [is] an abomination to the LORD: but the prayer of the upright [is] his delight.
Pro 21:13 Whoso stoppeth his ears at the cry of the poor, he also shall cry himself, but shall not be heard.
Jhn 9:31 Now we know that God heareth not sinners: but if any man be a worshipper of God, and doeth his will, him he heareth.
What is the will of God?
Jhn 6:40 And this is the will of him that sent me, that every one which seeth the Son, and believeth on him, may have everlasting life: and I will raise him up at the last day.
Jhn 3:15 That whosoever believeth in him should not perish, but have eternal life.
Jhn 3:16 For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life.
Jhn 3:17 For God sent not his Son into the world to condemn the world; but that the world through him might be saved.
Jhn 3:18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.
1Jo 5:11 And this is the record, that God hath given to us eternal life, and this life is in his Son.
1Jo 5:12 He that hath the Son hath life; [and] he that hath not the Son of God hath not life.
1Jo 5:13 These things have I written unto you that believe on the name of the Son of God; that ye may know that ye have eternal life, and that ye may believe on the name of the Son of God.
The only prayer God hears from the unsaved is their prayer for Salvation generated by the Holy Spirit
How do you square one's free will with the compulsion of the Holy Spirit? If the Holy Spirit is the originator, and not the man himself, then who can have free will?
Thus we witness the problem with the assumption that man cannot "do" anything regarding his salvation. If man is incapable of "doing" anything, it requires that God pick and choose those He wishes to save. The ones who aren't selected then have no responsibility for their damnation, and God's damning them is wholly unjust. An unjust Supreme Being is inferior to a just Supreme Being, and thus CANNOT be Supreme, that is CANNOT be God.
Any god that picks and choose who will be saved and who will be damned does not truly allow free will, and is unjust. Thankfully, this failed logic is a doctrine of man and not representative of the God of the Bible.