Jesus tells the parable of the Good Shepherd, which recalls Zechariah 11, Ezekiel 34, and Malachi 2. A father must feed his children first, and likewise the priests must tend their flocks before themselves.
Jesus uses an example of sheep who come to the shepherd’s name to explain Himself. He is the gate for the sheep, and while a hireling would abandon his flock, the good shepherd will not. Jesus will put his life down voluntarily to save His flock, and He will pick it up again. This is something that only God can do, and those who hear Him say it understand the implications of such statements.