SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    388, 389, 390, 391, 392, 393, 394, 395, 
    396
  )

Query time 0.00027

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "21.61"
    },
    "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": 9,
      "rows_produced_per_join": 9,
      "filtered": "100.00",
      "index_condition": "(`eshopuga_upgr_4122`.`cscart_categories`.`parent_id` in (388,389,390,391,392,393,394,395,396))",
      "cost_info": {
        "read_cost": "19.81",
        "eval_cost": "1.80",
        "prefix_cost": "21.61",
        "data_read_per_join": "24K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ]
    }
  }
}