SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    3557, 3674, 3676, 3679, 3684, 3686, 3690, 
    3694, 3699, 3704, 3713, 3720, 3736, 
    3746, 3752
  )

Query time 0.00037

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "10.63"
    },
    "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": 24,
      "rows_produced_per_join": 24,
      "filtered": "100.00",
      "using_index": true,
      "cost_info": {
        "read_cost": "5.83",
        "eval_cost": "4.80",
        "prefix_cost": "10.63",
        "data_read_per_join": "142K"
      },
      "used_columns": [
        "category_id",
        "parent_id"
      ],
      "attached_condition": "(`webmarco`.`cscart_categories`.`parent_id` in (3557,3674,3676,3679,3684,3686,3690,3694,3699,3704,3713,3720,3736,3746,3752))"
    }
  }
}

Result

category_id parent_id
3563 3557
3593 3557
3598 3557
3611 3557
3615 3557
3622 3557
3672 3557
3760 3752
3779 3752
3783 3752
3790 3752