Bellew meets Miranda, the feared Colombian puncher who has claimed 30 of his 35 wins by knockout, at Alexandra Palace on Friday night.
The 29-year-old from Liverpool dropped a majority points decision to WBO light-heavyweight champion Cleverly and his hopes of a rematch have been dashed.
"Despite what they've being saying, they never made me an offer to fight again," he said.
"I physically went to Frank Warren's office and begged for the opportunity and was told 'no'. I'm maximum risk, zero gain.
"But I don't need Cleverly to make my career. He's world champion but I'm fighting Edison Miranda while he fights guys like Tommy Karpency and Vyacheslav Uzelkov."
Bellew had to be restrained at the head to head press conference before his clash with Cleverly after offering to fight the Welshman there and then.
The hard-hitting Everton fan, who has won all but one of his 18 fights, believes the incident has earned him an unfair reputation.
"When people turn up at press conferences they're waiting for me to go and throw a table or attack someone," he said.
"Everyone wants me to go crazy, but it happened once and it happened because I lost 16lbs in 16 hours and then I had a man say he's going to take me into the car park.
"It was disgusting and I shouldn't have done it, but when someone offers you a large sum of money and says 'make a weight', I'll do everything to make it because I'm a young lad with a family to provide for."