Garcia's remarks are similar to those made by two-time major champion Fuzzy Zoeller in 1997 after Woods won The Masters.
Zoeller suggested at the champions dinner the following year Woods would choose to serve fried chicken to his guests. He later apologized and claimed the remarks had been taken out of context.
At his own press call ahead of the PGA Championship, Lee Westwood, Garcia's Ryder Cup teammate, refused to be drawn into the row saying he was friends with both players.
"It's an awkward situation where they obviously just don't get on. It's in the public (domain) and you guys (the media) will stoke it up and you don't need to," he told reporters.
"I don't think Tiger will be particularly bothered. I get on with both of them but I have no interest of getting in the middle of that relationship. It's nothing to do with me."