Promoter Eddie Hearn is hopeful of seeing a second bout take place before the year is out, once Haye has fully recovered from the Achilles injury picked up in March, but Bellew may turn his attention elsewhere should a deal not be thrashed out soon.
"There's already been talks and negotiations for a rematch. I have so many options on the table and Haye is one of them," he told Sky Sports News.
"They want to do the rematch and I will do it in a heartbeat as long as the terms can be made and negotiated. If they can't be met, I have so many options, people have to remember that Haye needs me a lot more than I need him - I have nothing left to prove.
"I do love the thought of becoming heavyweight champion of the world. I'll be honest, I don't know if I'm good enough, but I'm willing to give it a go. Joseph Parker, I'm not playing around, I'm coming."
Parker laboured to a points victory over Razvan Cojanu in his last outing to extend his unbeaten record to 23 victories in a row.