SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    589, 466, 587, 463, 622, 386, 453, 529, 
    1052, 408, 410
  )

Query time 0.00041

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_categories",
          "access_type": "range",
          "possible_keys": ["parent"],
          "key": "parent",
          "key_length": "3",
          "used_key_parts": ["parent_id"],
          "rows": 13,
          "filtered": 100,
          "index_condition": "cscart_categories.parent_id in (589,466,587,463,622,386,453,529,1052,408,410)"
        }
      }
    ]
  }
}

Result

category_id parent_id
471 408
711 408
409 408
565 466
590 589