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 (
    15744, 15745, 15746, 15743, 15738, 15739, 
    15740, 15741, 15742, 15736, 15737, 
    10455, 10456, 10454, 10453, 10452, 
    10451, 10450, 10449, 10448, 10447, 
    12691, 12692, 12693, 12694, 12695, 
    12696, 12697, 12698, 12699, 10206, 
    10209
  ) 
  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 0.00109

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 (15744,15745,15746,15743,15738,15739,15740,15741,15742,15736,15737,10455,10456,10454,10453,10452,10451,10450,10449,10448,10447,12691,12692,12693,12694,12695,12696,12697,12698,12699,10206,10209) 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)"
    }
  }
}