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 (
    12520, 12497, 12505, 12502, 12504, 10847, 
    13152, 10846, 10845, 10844, 10843, 
    10842, 10841, 10840, 10839, 10838, 
    10837, 10836, 10835, 10834, 10833, 
    10832, 10831, 10830, 10829, 10828, 
    10827, 12642, 12648, 12651, 12645, 
    12644
  ) 
  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 0.00513

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 (12520,12497,12505,12502,12504,10847,13152,10846,10845,10844,10843,10842,10841,10840,10839,10838,10837,10836,10835,10834,10833,10832,10831,10830,10829,10828,10827,12642,12648,12651,12645,12644) 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)"
    }
  }
}