"On the last two they didn't," Bryant said. "On the third one, I'm hoping they do."
Bryant did not have anyone specific in mind but there is an "open-door policy" in place between him and the front office.
"We talk back and forth," Bryant said. "We'll text or I'll sit down with him."
Bryant, 35, missed much of last season with a knee injury after coming back from a torn Achilles tendon. He is coming back for a 19th season and a contract that pays him $24 million annually and says he is fully healthy.
Even though Bryant wants a say in who the next coach will be, he does not want the team to play favorites while considering who to hire.
"Honestly it's not really about whether the players like the coach or not," Bryant said. "It's really about getting results. Liking somebody and those results don't necessarily go hand-in-hand.
"Sometimes when a coach is driving you, you don't necessarily like it, but it's a part of the process and then once you win, everybody is buddy-buddy after that."
The last two hires did not go well. Brown succeeded Phil Jackson in May 2011. After coaching the 2011-12 season, he was let go five games into the 2012-13 season. D'Antoni replaced Brown and lasted nearly two full seasons. He stepped down after the team went 27-55 in 2013-14 and refused to extend his contract.
Bryant said he was apathetic about D'Antoni's resignation.
"Honestly I didn't care," Bryant said.
He did say that the Lakers job is not an easy one as the expectations are very high.
"Mike was dealt a really bad hand in dealing with all the injuries that he had here," Bryant said. "This is a tough place, man. If you're not winning, you're not going to survive, man."
"I think he'll do fantastic," Bryant said. "Especially the more people say that he won't be successful."
"Jimmy and Jeanie both, they're just really determined and excited about the possibilities of next season and rebuilding this and building on their father's legacy and everything that he's accomplished," Bryant said. "And they're taking the challenge extremely, extremely seriously. They're both on the same page and they want nothing but excellence here, so I have no doubt that we'll make it happen."