SELECT 
  category_id, 
  parent_id 
FROM 
  cscart_categories 
WHERE 
  parent_id IN(
    871, 875, 886, 901, 877, 879, 873, 888, 
    911, 890, 2544, 2551
  )

Query time 0.00045

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_categories",
      "access_type": "range",
      "possible_keys": ["parent"],
      "key": "parent",
      "key_length": "3",
      "used_key_parts": ["parent_id"],
      "rows": 44,
      "filtered": 100,
      "index_condition": "cscart_categories.parent_id in (871,875,886,901,877,879,873,888,911,890,2544,2551)"
    }
  }
}

Result

category_id parent_id
872 871
885 871
894 871
895 871
896 871
897 871
2580 871
2581 871
874 873
892 873
904 873
905 873
906 873
907 873
908 873
909 873
2588 873
2589 873
3874 873
876 875
881 875
882 875
898 875
899 875
2582 875
2583 875
878 877
883 877
917 877
880 879
884 879
887 886
900 886
2584 886
889 888
893 888
910 888
2590 888
891 890
913 890
914 890
915 890
916 890
902 901
903 901
2585 901
2586 901
2587 901
912 911
2578 2544
2579 2551