The 45-year-old star said she took the snub in her stride as she got nods at other big awards, reported the New York Daily News.
Aniston portrays an acerbic woman who becomes fascinated by the suicide of a woman in her chronic-pain support group in 'Cake'.
"I'd be lying if there wasn't a little, 'aw," she said, adding, "Look at tonight, look at the Globes, look at the SAGs!"
Rather than focusing on the snub, Aniston said she was happy that her indie drama had received 'an embarrassment of wonderful riches (for) a movie that hasn't even been released and is teensy tiny'.