SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(1629, 1126, 1621, 1617, 1407, 925) 
  AND category_id != 264

Query time 0.00017

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost": 0.01009108,
    "nested_loop": [
      {
        "table": {
          "table_name": "cscart_categories",
          "access_type": "range",
          "possible_keys": ["PRIMARY", "parent", "p_category_id"],
          "key": "parent",
          "key_length": "3",
          "used_key_parts": ["parent_id"],
          "loops": 1,
          "rows": 24,
          "cost": 0.01009108,
          "filtered": 100,
          "attached_condition": "cscart_categories.parent_id in (1629,1126,1621,1617,1407,925) and cscart_categories.category_id <> 264",
          "using_index": true
        }
      }
    ]
  }
}

Result

category_id parent_id
1125 925
1126 925
1127 925
1400 1126
1401 1126
1402 1126
1403 1126
1404 1126
1405 1126
1406 1126
1407 1126
1618 1617
1619 1617
1620 1617
1621 1617
1622 1617
1623 1617
1624 1617
1625 1617
1626 1617
1627 1617
1630 1629