The Liverpudlian heavyweight was also in the running to fight AJ after a blockbuster bout with Wladimir Klitschko fell through, but has missed out to the American Molina.
Price feels Joshua’s team knew he was a far riskier choice of opponent due to his concussive power.
“They’ve taken the safer option without a doubt,” Price told ESPN. “I always thought that Joshua’s team – not Joshua himself – think that Molina is a safer bet. It’s less likely that something will go wrong.
“My selling point is the excitement I would bring. But Joshua’s people began to realise there’s a serious chance of him getting knocked out if he fought me.
“There’s not going to be many champions picking me out as a voluntary defence and I think it’s boiled down to his trainer [Tony Sims], and I can’t blame him. Molina was the safer option.”
Price has rebounded from a knock-out defeat to Erkan Teper, who was subsequently banned for taking performance enhancing drugs, with two wins over limited opponents Vaclav Pejsar and Ivica Perkovic.
Molina was taken out in nine rounds by WBC World title holder Deontay Wilder, but appeared to wobble the undefeated champion, which appears to have swerved it in his favour.