Free will is a term used describe the process by which God has determined that man should choose to accept his offer of free grace or reject it (John 1:12; Luke 14:26-33; Luke 9:23; Mark 4:5-17). The choice given by God to man who is sovereign in all things is not without outside influences (Mark 4:5-17). There are at least three influences involved. First the personal and sinful nature within man himself (Romans 7:18-19). Sin can be a powerful draw and man most often allows its influence to pull him that way. Second, the world and its godless agenda (2 Peter 1:4). Man looks at the world and sees pleasure that can be difficult to walk away from. Third, the gospel Romans 1:16). The truth of God delivered by the Holy Spirit has the power to overcome the other two. As powerful as the gospel is God has determined to allow man to choose between the those influences.
At the core of the debate on this issue is the false idea that man has no ability to choose God without first being regenerated. The truth is there is not a single verse that states this it is only inferred by reformed folks. Inferred is often the same thing as eisegesis. There is not a single verse that explicitly says you have to be regenerated first. The author of the gospel of John ended his gospel with the purpose of its writing that the readers may believe. Romans 10:17 said faith is acquired by hearing the gospel. The ability to hear and understand the gospel is not tied to being regenerated first. Romans 10 covers the process by which one is saved. It begins by the need to call out to God, to recognize the need for God, the process of one being sent with the gospel, then the sent delivering the gospel, then the one to whom the gospel is delivered hearing, then the one to whom the gospel was delivered believing. No where is regeneration mentioned in all of that process.
The gospel preacher is sent, the gospel is delivered, the gospel is heard, the gospel is either believed or rejected. That entire process is ordained by God. The choice to accept or reject is ordained by God. God is not inhibited by the sin in man and He is not forced to regenerate man first nor is God forced to add an extra measure of grace beyond the gospel to influence man that man may believe.