SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    341, 342, 359, 364, 366, 438, 481, 543, 
    564, 589
  ) 
  AND category_id != 264

Query time 0.00088

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "8.81"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "parent",
        "p_category_id"
      ],
      "key": "parent",
      "used_key_parts": [
        "parent_id"
      ],
      "key_length": "3",
      "rows_examined_per_scan": 14,
      "rows_produced_per_join": 14,
      "filtered": "100.00",
      "index_condition": "(`softwarepirmam_hewadelivard_cscart_4`.`cscart_categories`.`parent_id` in (341,342,359,364,366,438,481,543,564,589))",
      "cost_info": {
        "read_cost": "7.41",
        "eval_cost": "1.40",
        "prefix_cost": "8.81",
        "data_read_per_join": "43K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`softwarepirmam_hewadelivard_cscart_4`.`cscart_categories`.`category_id` <> 264)"
    }
  }
}

Result

category_id parent_id
362 342
363 342
360 359
361 359
343 543
544 543
567 543