As Deuteronomy 1:45 testifies, God does not listen to the prayers of the ungodly. Once the famed, Southern Presbyterian preacher John Girardeau was asked what hope an unconverted sinner, then, has to pray to God to save him. His answer is worth pondering.
"The explanation is that Jesus, the great High Priest, presents His blood in their behalf, sues pardon for them by His availing intercessions, and secures for them the grace of the Holy Spirit Who, coming in the first instance, not in answers to their prayers, but to the prayers of the great Mediator, awakens in them a sense of their spiritual wants, impels them to pray for divine help, and enables them while struggling in supplication to believe in the Person and trust in the merits of the Savior. The people of God, while in their unconverted and ungodly condition, are accepted not because of the efficacy of their prayers, but because Jesus has previously prayed for them. This is the encouragement which the unconverted sinner has in attempting to pray."
- Preachers With Power, Douglas Kelly, p. 158
How precious is Hebrews 7:25: "Consequently, He is able to save to the uttermost those who draw near to God through Him, since He always lives to make intercession for them."