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 (
    10507, 10506, 10505, 10504, 10503, 10502, 
    10501, 10500, 10499, 10498, 10497, 
    9839, 12702, 9841, 9848, 9840, 9844, 
    9843, 9846, 9845, 9860, 9859, 9858, 
    9857, 9852, 9861, 9862, 9847, 9863, 
    9856, 9855, 9838, 9849, 9850, 9853, 
    9842, 9851, 9854, 10263, 10264, 10265, 
    10266, 10267, 10268, 10269, 10270, 
    10271, 10272, 10273, 10478, 9883, 9901, 
    10493, 10485, 10476, 10479, 10494, 
    10492, 10468, 9903, 10487, 9899, 10473, 
    10486
  ) 
  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 0.00134

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 (10507,10506,10505,10504,10503,10502,10501,10500,10499,10498,10497,9839,12702,9841,9848,9840,9844,9843,9846,9845,9860,9859,9858,9857,9852,9861,9862,9847,9863,9856,9855,9838,9849,9850,9853,9842,9851,9854,10263,10264,10265,10266,10267,10268,10269,10270,10271,10272,10273,10478,9883,9901,10493,10485,10476,10479,10494,10492,10468,9903,10487,9899,10473,10486) 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)"
    }
  }
}