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 (
    12552, 10294, 10297, 10302, 10314, 10319, 
    10293, 10296, 10301, 10313, 10318, 
    12565, 10342, 10341, 10368, 10340, 
    10367, 10339, 10366, 10338
  ) 
  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 0.00107

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": 40,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (12552,10294,10297,10302,10314,10319,10293,10296,10301,10313,10318,12565,10342,10341,10368,10340,10367,10339,10366,10338) 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)"
    }
  }
}

Result

product_id seo_name seo_path
10293 esckimo-col-01 265/280/309/775
10294 esckimo-col-02 265/280/309/775
10296 salon-col-01 265/280/291/1645
10297 salon-col-02 265/280/291/1645
10301 flashback-col-01 265/280/291/1644
10302 flashback-col-02 265/280/291/1644
10313 magnifico-col-01 265/280/439/1643
10314 magnifico-col-02 265/280/439/1643
10318 magnifico-plain-col-01 265/280/439/1643
10319 magnifico-plain-col-02 265/280/439/1643
10338 mechta-col-16 265/280/286/1648
10339 mechta-col-17 265/280/286/1648
10340 mechta-col-18 265/280/286/1648
10341 mechta-col-19 265/280/286/1648
10342 mechta-col-20 265/280/286/1648
10366 excellence-col-24 265/280/442/1646
10367 excellence-col-25 265/280/442/1646
10368 excellence-col-26 265/280/442/1646
12552 tureckiy-kover-marble-powder-160x230 265/266/268
12565 belgiyskiy-kover-apatite-200x300 265/266/267