All people have free will. The issue is not with the will, but with the ~spirit~ of man. The spirit of an unregenerate man is dead. If that man chooses to do any of the works of a regenerate believer in Jesus, he can–from his dead spirit and from his natural soul, which is ultimately from a source of fleshly self-pride. The difference is not in the will, but in the condition of the spirit–alive or dead, connected to God’s Spirit or not connected to God’s Spirit.
One of the great errors of theologians is to trust their own theories and logical ideas rather than the Word of God and the Spirit of God. God did not say that in the day that you eat of it you will no longer have free will, but rather, in the day that you eat of it, you will die: your spirit will die.