SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    443, 442, 669, 662, 629, 573, 441, 452, 
    445, 451, 444, 446, 447
  )

Query time 0.00018

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "13.61"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": [
        "parent"
      ],
      "key": "parent",
      "used_key_parts": [
        "parent_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 23,
      "rows_produced_per_join": 23,
      "filtered": "100.00",
      "index_condition": "(`dbggbern`.`cscart_categories`.`parent_id` in (443,442,669,662,629,573,441,452,445,451,444,446,447))",
      "cost_info": {
        "read_cost": "11.31",
        "eval_cost": "2.30",
        "prefix_cost": "13.61",
        "data_read_per_join": "92K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ]
    }
  }
}

Result

category_id parent_id
446 443
451 443
452 443
573 443
629 443
662 443
669 443