Correct! however these statements have nothing to do with whether an unsaved man can of his own free will accept or reject christ or if one is predestined or not!
The Bible never says that an unsaved man cannot believe the gospel when he hears it.
Rom 10:9-13 says that one must hear before they believe.
These are simply statements of fact and say nothing about the hows they accept or reject.
If you believe that regeneration is required in order for a person to believe the gospel, where is that found/taught in the Bible?
But how can an unsaved person who is dead in tehir trespasses and sins choose God?
Calvinists make the mistake of equating spiritual death with physical death. Spiritual death is separation from God. It doesn't mean they can't hear, respond and believe.
Romans 8:7-8
King James Version
7 Because the carnal mind is enmity against God: for it is not subject to the law of God, neither indeed can be.
8 So then they that are in the flesh cannot please God.
The same writer (Paul) also said that those in their own nature CANNOT PLEASE God. choosing to accept Christ we know is something that definitely pleases God- so how can they do that in light of this passage????
Also:
1 Corinthians 2:13-14
King James Version
13 Which things also we speak, not in the words which man's wisdom teacheth, but which the Holy Ghost teacheth; comparing spiritual things with spiritual.
14 But the natural man receiveth not the things of the Spirit of God: for they are foolishness unto him: neither can he know them, because they are spiritually discerned.
Also:
Romans 7:18
King James Version
18 For I know that in me (that is, in my flesh,) dwelleth no good thing: for to will is present with me; but how to perform that which is good I find not.
The unsaved man doesn't even receive the things of God- and cannot please God and has nothing good in him by which to make a good choice?
Where is free will in that?
Free will isn't "in" anything. Free will is opportunity of choice.
Let's stay with Romans.
10-
9 If you declare with your mouth, “Jesus is Lord,” and believe in your heart that God raised him from the dead, you will be saved.
10 For it is with your heart that you believe and are justified, and it is with your mouth that you profess your faith and are saved.
14 How, then, can they call on the one they have not believed in? And how can they believe in the one of whom they have not heard? And how can they hear without someone preaching to them?
15 And how can anyone preach unless they are sent? As it is written: “How beautiful are the feet of those who bring good news!”
16 But not all the Israelites accepted the good news. For Isaiah says, “Lord, who has believed our message?”
17 Consequently, faith comes from hearing the message, and the message is heard through the word about Christ.
18 But I ask: Did they not hear? Of course they did: “Their voice has gone out into all the earth, their words to the ends of the world.”
19Again I ask: Did Israel not understand? First, Moses says, “I will make you envious by those who are not a nation; I will make you angry by a nation that has no understanding.”
20 And Isaiah boldly says, “I was found by those who did not seek me; I revealed myself to those who did not ask for me.”
21 But concerning Israel he says, “All day long I have held out my hands to a disobedient and obstinate people.”
There's all the free will you're not looking for.