curl --request PUT \
  --url https://api.hubapi.com/crm/v3/lists/folders/move-list \
  --header 'Authorization: Bearer <token>' \
  --header 'Content-Type: application/json' \
  --data '
{
  "listId": "<string>",
  "newFolderId": "<string>"
}
'

This response has no body data.