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 (
    10610, 10611, 10612, 10613, 10614, 10615, 
    10616, 10617, 10618, 10619, 10620, 
    10621, 10622, 10623, 10624, 9685, 10653, 
    10646, 10645, 10647, 10648, 10649, 
    10726, 10650, 10547, 9789, 10655, 10654, 
    10605, 10604, 9873, 9972, 9973, 9975, 
    9976, 9977, 9978, 9979, 10179, 10180, 
    10523, 10073, 10077, 10076, 10086, 
    10085, 10084, 10083, 10082, 10081, 
    10080, 10079, 10584, 10594, 9814, 9815, 
    9816, 9817, 9818, 15732, 9820, 9821, 
    9822, 9823
  ) 
  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 0.00133

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 (10610,10611,10612,10613,10614,10615,10616,10617,10618,10619,10620,10621,10622,10623,10624,9685,10653,10646,10645,10647,10648,10649,10726,10650,10547,9789,10655,10654,10605,10604,9873,9972,9973,9975,9976,9977,9978,9979,10179,10180,10523,10073,10077,10076,10086,10085,10084,10083,10082,10081,10080,10079,10584,10594,9814,9815,9816,9817,9818,15732,9820,9821,9822,9823) 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)"
    }
  }
}