Short answer
No, roasted chestnuts are safe for cats in small amounts. Peel off any remaining shells to prevent choking. These are lower-fat than other nuts but still best as an occasional treat. Skip seasoning and offer just the plain nut next time. Call your vet if your cat acts unusually after eating them.
Chestnuts — Food safety facts
Safe to share · Cats · full breakdown on the linked food page
Cooked, peeled chestnuts are safe in small amounts. They are lower in fat than other nuts.
The full verdict, portion guidance and serving notes are collected on the Chestnuts food facts page.