In his marvelous book, All of Grace, Charles Spurgeon cites the Apostle Paul in affirming that it is the ungodly people that God justifies, and not the righteous people:
Now to the one who works, his wages are not counted as a gift but as
his due. 5 And to the one who does not work but believes in him who
justifies the ungodly, his faith is counted as righteousness. Romans
A common mistake is to believe that Jesus came to save the righteous, but that couldn't be any more wrong that it already is.
God justifies the ungodly--not the righteous. To borrow from a colloquialism, God does not save "the good", but rather "the bad and the ugly."
Jesus Himself stated the same thing:
"I have not come to call the righteous but sinners to repentance.”
And again, Paul claims for himself the title of the chief of sinners:
The saying is trustworthy and deserving of full acceptance, that
Christ Jesus came into the world to save sinners, of whom I am the
foremost. 1 Timothy 1:15 ESV
Luke 5:32 ESV
This is good news to those who identify themselves as ungodly people and sinners, for Christ Jesus came into the world specifically to save us--and to save no one else. He came to save sinners. He came to justify ungodly people. Indeed, anyone who has no sin and is righteous--or believes himself to be that way--that person has no need of justification nor salvation.
"It is the sick who need the doctor--not the healthy." A doctor has no value to a healthy person and is ultimately out of place where there is no disease or impairment. A doctor can only do anything of value to those that have need of him. So, too, the self-righteous Pharisees of Jesus' time felt no need of salvation, so Jesus saved His harshest rebukes for them. Yet, to the adulterer, to the thief, and to the sinner the arms of Jesus were warmly outstretched to receive them.
So, your friend could not be any more qualified to receive salvation from God. In fact, such a person is the perfect fit for the grace and mercy of God. In fact, no one could be a better candidate for salvation than one such as your friend, who understands that he or she is truly a sinner.
(I highly recommend Spurgeon's book, All of Grace, on this subject.)