Li hired Rodriguez, the former mentor of multiple Grand Slam champion Justine Henin, in mid-2012 after conflicts with her previous coach -- husband Jiang Shan.
The Chinese star has credited him with saving her marriage and helping resurrect her game after she lost her way following her 2011 French Open victory, when the distractions of sponsors and media affected her form.
He has also been a steadying influence on the now composed 31-year-old, who used to struggle to control her emotions on court.
Importantly, the Argentinian, who helped steer Henin to world number one, has instilled a self-belief that was lacking.
"You know, when like last year I said I want to be top three, nobody believed me," Li said. "At the beginning of this year I said I want to win another Grand Slam title. Nobody believed.
"More important is I believed, he believed, my team believed."
As well as being a steadying influence, Rodriguez helped save Li from retiring last June after she became disillusioned with media criticism, convincing her it was worth playing on.

She said it was tough adapting to his style in the beginning, but she has no regrets about hiring him.
"When I started working with him, I realised he was more cool. He's not stressful. So I felt I need a coach like him," she said.
"Every day he would say 'Believe in yourself, believe in yourself.' But if I was really doing something wrong, he would say 'This is wrong, you have to change.'
"But the most important thing is, working with him for one-and-a-half, two years, he didn't tell me what to do. He would say, 'You have to play yourself. You have to know yourself what you should do," she said.


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