SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    6401, 6413, 6507, 6466, 6516, 6444, 6478, 
    6529, 6457, 6491, 6539, 6553, 6572
  )

Query time 0.00052

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "7.82"
    },
    "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": 17,
      "rows_produced_per_join": 17,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "4.42",
        "eval_cost": "3.40",
        "prefix_cost": "7.82",
        "data_read_per_join": "100K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`webmarco`.`cscart_categories`.`parent_id` in (6401,6413,6507,6466,6516,6444,6478,6529,6457,6491,6539,6553,6572))"
    }
  }
}

Result

category_id parent_id
6413 6401
6444 6401
6457 6401
6507 6491
6516 6491
6529 6491