Martin Bakole said he wanted Tyson Fury or Oleksandr Usyk next.
Bakole became the first man to stop and defeat American Jared Anderson as he made his debut in the US.
The Congolese fighter has often accused big names of ducking him and speaking to DAZN, he said that Anderson’s error had been standing still, and believing he could take his punches.
He said: "He's got skill, he made the mistake of standing. Big man, he can take everyone's power in sparring and in the fight, but not me - I told him that in the beginning.
“They made a big mistake, they should follow me. Everyone avoids me. I'm the most dangerous man.”
Bakole, who fights out of Scotland, then turned to the two biggest names in the heavyweight division, who will take part in their rematch on December 21.
He said: “I want the big names, anybody. Tyson Fury, Usyk, anybody. This is my American debut and I stopped the No. 1 American.
“I wish him good luck, he's got a big future ahead of him. I want him to get back in the gym, work hard and get back to being a champion again."
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