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 (
    10768, 10767, 10766, 10765, 10764, 10763, 
    10762, 10761, 10760, 10759, 10758, 
    10757, 10756, 10755, 10754, 10753, 
    10752, 10751, 10750, 10749, 10748, 
    10747, 15736, 15737, 15738, 15739, 
    15740, 15741, 15742, 15743, 15745, 
    15746
  ) 
  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 0.00068

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 (10768,10767,10766,10765,10764,10763,10762,10761,10760,10759,10758,10757,10756,10755,10754,10753,10752,10751,10750,10749,10748,10747,15736,15737,15738,15739,15740,15741,15742,15743,15745,15746) 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)"
    }
  }
}