There are several reasons why this will never, ever happen in the comics, but that's what fan art is for! Alex Lee M imagined several Disney characters as members of the various Lantern Corps, based on looks and personality, as explained in his descriptions below. I think he nailed it. Click on the images to view hi-res, and let me know what you think!

Red Lantern Stitch-Based off his initial behavior
Orange Lantern Ariel-She's a horder, and incredibly selfish within the context of her own movie
Yellow Lantern Jack Skellington-He likes to inspire fear
Green Lantern Mulan-Most Disney characters fall under Will, so I just picked Mulan and gave her a Jedi ish outfit
Blue Lantern Beast-He has a lot of hope. And don't ask for what smartass
Indigo Lantern Aladdin - he's very compassionate, even more so in the series, so he fits 
Star Sapphire Jessica Rabbit-She has great love for her husband
Black Lantern Flynn/Eugene Ryder-Fitzherbert-He died and came back to life, it's a no brainer
and White Lantern Rapunzel-She brought Flynn back to life, also DUH