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 (
    10301, 10313, 10318, 10294, 10297, 10302, 
    10314, 10319, 12552, 12554, 10295, 
    10298, 10303, 10315, 10320, 10299, 
    10304, 10316, 10321, 10300, 10317, 
    10322, 12572, 12575, 12571, 12573, 
    10273, 10272, 10271, 10270, 10269, 
    10268
  ) 
  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 0.00277

JSON explain

{
  "query_block": {
    "select_id": 1,
    "table": {
      "table_name": "cscart_seo_names",
      "access_type": "range",
      "possible_keys": ["PRIMARY", "dispatch"],
      "key": "PRIMARY",
      "key_length": "210",
      "used_key_parts": [
        "object_id",
        "type",
        "dispatch",
        "lang_code",
        "company_id"
      ],
      "rows": 64,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10301,10313,10318,10294,10297,10302,10314,10319,12552,12554,10295,10298,10303,10315,10320,10299,10304,10316,10321,10300,10317,10322,12572,12575,12571,12573,10273,10272,10271,10270,10269,10268) 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)"
    }
  }
}