The nobleman must have had a bud of faith, for his urgent need moved him to seek Christ. At least a glimmer of faith was necessary to believe that, if he could only convince Jesus the Healer to go to his dying child, his son would be healed. This first example of Jesus' healing miracles is important, as it emphasizes the link between miracles and faith. Those who desire to be healed or to have a loved one healed must exhibit faith.
Jesus' miracles of healing are instructive in that they give us kinds and actions of faith. By refusing to go with the nobleman, Jesus emphasizes and illustrates the potency of strong faith. Another time, Jesus teaches that a miracle is not the cause of faith as much as its reward (Matthew 9:22). Belief in Christ as Healer leads people to faith in Him as Savior.
We all desire divine intervention when we are in dire need; "there are no atheists in a foxhole," it is said. Though the nobleman's human faith was limited and weak, it was still real. Jesus helped him to develop it, leading to deeper belief. However, no matter how strong our faith is, if it is in a wrong object, it will do nothing to relieve suffering, but if our faith is properly directed, despite being weak, it will bring deliverance and comfort. Note, however, that faith itself does not relieve affliction, but the power of the One in whom we believe does.
Martin G. Collins
The Miracles of Jesus Christ: Healing a Nobleman's Son