SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(8784)

Query time 0.00064

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "4.61"
    },
    "table": {
      "table_name": "cscart_categories",
      "access_type": "ref",
      "possible_keys": [
        "parent"
      ],
      "key": "parent",
      "used_key_parts": [
        "parent_id"
      ],
      "key_length": "3",
      "ref": [
        "const"
      ],
      "rows_examined_per_scan": 18,
      "rows_produced_per_join": 18,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "1.01",
        "eval_cost": "3.60",
        "prefix_cost": "4.61",
        "data_read_per_join": "106K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ]
    }
  }
}

Result

category_id parent_id
8790 8784
8791 8784
8793 8784
8796 8784
8797 8784
8798 8784
8814 8784
8815 8784
8816 8784
8817 8784
8831 8784
8832 8784
8843 8784
8844 8784
8845 8784
8846 8784
8847 8784
8848 8784