SELECT 
  cscart_seo_names.object_id AS product_id, 
  cscart_seo_names.name AS seo_name, 
  cscart_seo_names.path AS seo_path 
FROM 
  cscart_seo_names 
WHERE 
  cscart_seo_names.object_id IN (
    2039, 1757, 1758, 2649, 2637, 1478, 1823, 
    1298, 1540, 1299
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'ru' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00083

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "14.01"
    },
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": [
        "PRIMARY",
        "dispatch"
      ],
      "key": "PRIMARY",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "key_length": "210",
      "rows_examined_per_scan": 20,
      "rows_produced_per_join": 20,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (2039,1757,1758,2649,2637,1478,1823,1298,1540,1299)) and (`zdrowy_db`.`cscart_seo_names`.`type` = 'p') and (`zdrowy_db`.`cscart_seo_names`.`dispatch` = '') and (`zdrowy_db`.`cscart_seo_names`.`lang_code` = 'ru') and ((`zdrowy_db`.`cscart_seo_names`.`company_id` = 1) or (`zdrowy_db`.`cscart_seo_names`.`company_id` = 0)))",
      "cost_info": {
        "read_cost": "12.01",
        "eval_cost": "2.00",
        "prefix_cost": "14.01",
        "data_read_per_join": "33K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
1298 k-144-500-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1299 k-144k-kryshka-prozrachnaya-k-kont.-supovoy-pp-stp-rossiya 294/562
1478 k-144-375-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1540 k-144-750-ml.konteyner-kruglyy-chernyy-supovoy-pp-stp-rossiya 294/562
1757 k-115-500-ml-konteyner-kruglyy-chernyy-stp-50-500 294/562
1758 k-115-kryshka-prozrachnaya-k-konteyneru-50-500 294/562
1823 k-144-500-ml.konteyner-kruglyy-prozrach.-supovoy-pp-stp-rossiya 294/562
2039 k-115-350-ml-konteyner-kruglyy-chernyy-stp-50-500 294/562
2637 144-kryshka-prozrachnaya-k-kont-supovoy-vzlp-rossiya-1-50 294/562
2649 144-500-ml-konteyner-kruglyy-chernyy-supovoy-vzlp-rossiya-1-50 294/562