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 (
    10361, 10362, 10363, 10364, 10365, 10366, 
    10367, 10368, 10704, 10705, 10706, 
    10707, 10708, 10709, 10710, 10711, 
    10712, 10301, 10302, 10303, 10304, 
    10425, 10426, 10427, 10428, 10429, 
    10430, 10431, 10432, 10433, 10434, 
    10435, 10436, 10437, 10438, 10439, 
    10440, 10441, 10442, 10443, 10444, 
    10522, 9945, 10601, 9727, 9728, 9729, 
    9730, 9731, 9732, 9733, 10181, 9734, 
    9735, 9724, 9803, 9805, 9797, 9800, 
    9799, 9798, 9801, 9802, 9806
  ) 
  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 0.00124

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": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10361,10362,10363,10364,10365,10366,10367,10368,10704,10705,10706,10707,10708,10709,10710,10711,10712,10301,10302,10303,10304,10425,10426,10427,10428,10429,10430,10431,10432,10433,10434,10435,10436,10437,10438,10439,10440,10441,10442,10443,10444,10522,9945,10601,9727,9728,9729,9730,9731,9732,9733,10181,9734,9735,9724,9803,9805,9797,9800,9799,9798,9801,9802,9806) 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)"
    }
  }
}