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 (
    11841, 8508, 6899, 10345, 20969, 20970, 
    21415, 10897
  ) 
  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 0.00064

JSON explain

{
  "query_block": {
    "select_id": 1,
    "nested_loop": [
      {
        "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": 16,
          "filtered": 100,
          "index_condition": "cscart_seo_names.object_id in (11841,8508,6899,10345,20969,20970,21415,10897) 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
6899 gel-dis-one-phase-clear-60-g 484/485/661
8508 gel-dis-one-phase-clear-30-g 484/485/661
10345 gel-dis-proline-cover-cashmere-pink-30-g 484/485/661
10897 gel-dis-cover-pink-jam-gel-30-ml-ru 484/485/661
11841 gel-dis-shimmerize-silver-30-g 484/485/661
20969 gel-zhele-dis-hard-jelly-09-28-ml 484/485/661
20970 gel-zhele-dis-hard-jelly-11-28-ml 484/485/661
21415 gel-zhele-dis-hard-jelly-12-28-ml 484/485/661