You can’t delete all Snapchat messages at once directly. The only way is to delete each chat manually or clear conversations one by one. Go to Settings → Clear Conversations → Tap “X” next to each chat. For a full reset, you can also delete your account and create a new one.
You can’t delete all Snapchat messages at once directly. However, you can clear individual chats by going to Settings → Clear Conversations, or delete your entire account to remove all data permanently.