What Does It Mean When Cats Squeeze Their Eyes Shut? Facebook Prev Article Next Article When cats are pleased and happy they squeeze their eyes shut. When your cat squeezes her eyes when she is with you than for sure she is enjoying the moment! Prev Article Next Article Popular on Land of Cats The Healing Power Of Cats! Cats Can Act Sick When Their Routine Is Disrupted Parasite Found In Cat Poo ‘ May Help In Fight Against Ovarian Cancer! The Cat Is The Most Popular Pet! Quit Smoking For The Sake Of Your Cats! Why Cats Make Baby Cry Sound Sometimes?