For the Scripture says, “Whoever believes on Him will not be put to shame.” For there is no distinction between Jew and Greek, for the same Lord over all is rich to all who call upon Him. For “whoever calls on the Name of the LORD shall be saved.” (Romans 10:11-13)
Whoever believes in the Lord or calls upon Him will not be rejected by God because God is the Creator and Savior of all—not only of those who believe, though especially of those who believe, but still the Lord of all people on earth. “For to this end we toil and strive, because we have our hope set on the living God, who is the Savior of all people, especially of those who believe” (1 Timothy 4:10). St Ambrose of Milan comments about who can approach Christ and for what reasons:
Thus we have everything in Christ. Let every soul go to Him, whether it be sick from the sins of the body, or pierced with the nails of some desire of this age; or still imperfect—provided that it goes forward in persevering meditation, or is already perfect in many virtues: everything is within Christ power, and Christ is everything to us.
If you wish to be healed of your wound, He is the healer; if you burn with fevers, He is the fountain; if you are laden with iniquity, He is justice; if you have need of help, He is strength; if you fear death, He is life; if you desire heaven, He is the way to it; if you flee from darkness, He is the light; if you seek food, He is nourishment. ‘Taste, then, and see how good is the Lord: happy the man who hopes in him’ (Psalm 33:9). (THE SPIRITUALITY OF THE NEW TESTAMENT AND THE FATHERS, p 458)