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 (
    332, 2850, 1509, 384, 2833, 1125, 2750, 
    2710, 2675, 2708, 1134, 2884, 2677, 
    2472, 2544, 1651, 1131, 2834, 1138
  ) 
  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 0.00103

JSON explain

{
  "query_block": {
    "select_id": 1,
    "cost_info": {
      "query_cost": "26.61"
    },
    "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": 38,
      "rows_produced_per_join": 38,
      "filtered": "100.00",
      "index_condition": "((`zdrowy_db`.`cscart_seo_names`.`object_id` in (332,2850,1509,384,2833,1125,2750,2710,2675,2708,1134,2884,2677,2472,2544,1651,1131,2834,1138)) 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": "22.81",
        "eval_cost": "3.80",
        "prefix_cost": "26.61",
        "data_read_per_join": "64K"
      },
      "used_columns": [
        "name",
        "object_id",
        "company_id",
        "type",
        "dispatch",
        "path",
        "lang_code"
      ]
    }
  }
}

Result

product_id seo_name seo_path
332 200-ml-stakan-200-ml-eko-belyy-introplastik-100-3000 290/293/584
384 500-ml-stakan-500-ml-h50-1200-huhtomaki 290/293/584
1125 stakan-bumazhnyy-180-ml-chernyy-dlya-goryachih-napitkov-50-1000 290/291
1131 stakan-bumazhnyy-300ml-tl90-chernyy-dlya-goryachih-napitkov-50-1000 290/291
1134 stakan-bumazhnyy-dlya-goryachih-napitkov-belyy-250-ml-50-1000-belyy 290/291
1138 stakany-500-ml.-6sht-77003 290/292
1509 500-ml-stakan-500-ml-prozrachnyy-fakel-h50-1000-yuplast 290/293/584
1651 stakan-bumazhnyy-400-ml.-dva-ponchika-50-1000 290/291
2472 stakan-bumazhnyy-2sl-dw9-200-260ml-dizayn-desert-i-h20-400 290/291
2544 stakan-bumazhnyy-350-ml-kraken-risunok-40-480 290/291
2675 stakan-bumazhnyy-1sl-sp12-300-355ml-big-siti-layf-miks-5-dizaynov-h50-1000 290/291
2677 stakan-bumazhnyy-2sl-dw9-200-260ml-big-siti-layf-miks-5-dizaynov-h20-500 290/291
2708 stakan-bumazhnyy-1sl-sp12-300-355ml-mel-26015-h50-1000 290/291
2710 stakan-bumazhnyy-1sl-sp9-200-260ml-kofe-breyk-layt-19015-dlya-goryachih-napitkov-h50-1000 290/291
2750 stakan-bumazhnyy-1sl-sp-9-200-260ml-gorod-layt-19015-dlya-goryachih-napitkov-h50-1000 290/291
2833 stakan-500-ml-prozrachnyy-6-sht-nabor-po-pivku-1-75 290/292
2834 stakan-cvetnoy-200-ml-6-sht-nabor-raduga-1-140 290/292
2850 stakan-200-ml-eko-prozrachnyy-1-100-3000-rossiya 290/293/584
2884 stakan-bumazhnyy-2sl-dw16-400-473ml-big-siti-layf-vyborochnyy-miks-dizaynov-h18-360 290/291