Klitschko wants to make Chisora pay in the ring
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"Common sense tells me that I don't need a rematch but my ego, my deep interior, tells me that this man needs to be punished," Klitschko, who won Saturday's fight on a unanimous points decision, told the online edition of Welt newspaper.
"I'd like to knock him out in the ring. The bill has not been paid."
Chisora was involved in a brawl with fellow British heavyweight David Haye at the post-fight news conference in Munich.
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He also slapped Klitschko in the face and spat water at the face of his younger brother Vladimir, who holds the WBO, IBF, WBA and IBO crowns, during the pre-fight ceremonies.
"Before our fight, I thought that his behavior was all part of a show-act," said Klitschko. "Then I realized that he's not playing.
"He hit me in the face before the fight and spat at Vladimir in the ring. Then he got into a fight at the press conference and threatened to shoot someone.
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"What kind of person can he be. Unbelievable. I can't grasp it. Everything I have experienced with him is as if I were in a nightmare."
(Writing by Brian Homewood in Basel; Editing by Ed Osmond)