Speaking with Yahoo's Graham Bensinger, Player explained that after spending a short amount of time with Woods - who he described as "the most talented golfer that ever lived, without question" - the 38-year-old could turn things around in short order.
"I would love to sit down with him for one hour and give him a piece of my knowledge," Player said. "Then I think he could win majors."
Player didn't disclose specifics on how he would counsel Woods, but he did add that the two would spend time discussing swing mechanics following Woods' injury-plagued 2014 season that failed to yield a top-10 finish.
"I would talk to him quite a bit about the swing, because he's got flaws. There's a reason why he's not the same Tiger Woods anymore, and I reckon I could get those things across to him that would make a massive change because I've had so much experience, which would take him at least another 40-50 years to get."
Woods' professional career has now spanned three swing coaches, and the 14-time major champ has yet to name a successor to Sean Foley, with whom he parted ways in August. According to Player, the biggest mistake Woods made was to continue tweaking his swing after winning the 2000 U.S. Open at Pebble Beach by 15 shots.
"Tiger was so good. He was so much better than anybody that plays today," he said. "If he never had another lesson (after 2000), just left what he had, he would have won 20, 22, 24 majors."