The actor/director was reportedly dropped by his talent agency as a series of taped conversations with his ex-girlfriend were leaked into the public domain.
Clifford told ShortList that Gibson should harness star power, be genuine in his response, attend rehabilitation, go on Oprah and donate to charity.
"When Jade Goody was accused of racism, one of the first people I got to stand up for her was Shilpa Shetty. That was a big step," the PR guru said. "[Lethal Weapon co-star Danny Glover] could bring authenticity by saying the right things. Gibson needs support from a big name."
"Tiger Woods just read a statement, so he didn't come across as sincere," Clifford continued in his advice to Gibson. "He needs to convince people that he knows he's acted badly.
"He needs treatment. It shouldn't be seen as a PR stunt. It's got to be somewhere where people will know he's serious, not the US counterpart of the Priory.
"He should go on Oprah and put his hands up, admitting that he's let himself down. Is that easy? No. But it's the best chance he's got."
Of the advice to donate to charity, Clifford concluded: "He has to donate to something he's previously been involved with, so no one can say he's jumping on the charity bandwagon."