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 (
    10331, 10358, 10378, 10311, 10332, 10359, 
    10379, 10312, 10333, 10360, 10380, 
    10334, 10361, 10381, 10335, 10362, 
    10336, 10363, 10337, 10364, 10338, 
    10365, 10339, 10366, 10340, 10367, 
    10341, 10368, 10342, 12565, 10293, 
    10296
  ) 
  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 0.00300

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 (10331,10358,10378,10311,10332,10359,10379,10312,10333,10360,10380,10334,10361,10381,10335,10362,10336,10363,10337,10364,10338,10365,10339,10366,10340,10367,10341,10368,10342,12565,10293,10296) 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)"
    }
  }
}