Cooked potato — Food safety facts
Feed with care · Cats · full breakdown on the linked food page
Plain cooked potato (no skin, no green parts) is fine. Raw potatoes, green skin, eyes and sprouts contain solanine, which is toxic.
Short answer
Yes, plain cooked potato without skin is safe in tiny amounts. Avoid any green parts or sprouts, which contain toxins. Watch for vomiting or diarrhea over the next few hours. If those appear, skip the next meal and call your vet. Otherwise no need to worry.