Jesus said to him, "Go your way. Your son lives." The man believed the word that Jesus spoke to him, and he went his way.
Why did not Jesus accept the nobleman's plea to go down to Capernaum and heal his son?  The question becomes even more pointed when it is recalled that in another case, that of healing the centurion's servant, Jesus was invited to do what he did here, merely speak the word; but in that instance the Lord proposed personally to enter his home.  As Trench commented: