Please read John 14:27
The peace that Jesus is talking about is not a regular peace (Shalom). He specifies it as My Shalom. It is the kind of Shalom He had during His trip to Golgotha (the place of the skull), facing Crucifixion and carrying the sins of the whole world as the Lamb of God. Your Heavenly Father wants you to enjoy the Shalom of His Son in the most catastrophic time of your life.