You mean like when he mentions "God" in the parable of the Rich Fool - Luke 12:13-21, "Satan" and "Beazebub" in the parable of the Divided Kingdom - Matthew 12:24-30, or when he includes the audience in the parable of the Invited Guests - Luke 14:7-14.
May I ask, can you show me where it was stated that Jesus, Isaiah, Nathan, Ezekiel, the widow from Tekoa, Jotham, or God or whoever must follow this rule of yours. As I understand a parable, it is parabolic story to teach a lesson. And Jesus nailed it when he says:
31 “He said to him, ‘If they do not listen to Moses and the Prophets, they will not be convinced even if someone rises from the dead.’”
Somebody (actually two somebodies) did rise from the from the dead. That didn't convince Annas and his children, but rather it drove them to a more murderous path.
As is obvious, the two parables in the chapter are introduced the exact same way:
“There was a rich man whose manager was accused of wasting his possessions"
“There was a rich man who was dressed in purple and fine linen and lived in luxury every day. "