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 (
    11007, 8816, 6667, 6665, 6668, 7594, 
    7761, 10749, 11008, 11006
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'uk' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00136

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": 20,
          "filtered": 100,
          "index_condition": "cscart_seo_names.object_id in (11007,8816,6667,6665,6668,7594,7761,10749,11008,11006) and cscart_seo_names.`type` = 'p' and cscart_seo_names.dispatch = '' and cscart_seo_names.lang_code = 'uk' and (cscart_seo_names.company_id = 1 or cscart_seo_names.company_id = 0)"
        }
      }
    ]
  }
}

Result

product_id seo_name seo_path
6665 pincet-lilly-pryamiy-hameleon 399/416
6667 pincet-lilly-vignutiy-hameleon 399/416
6668 pincet-lilly-chobitkiv-hameleon 399/416
7594 pincet-dlya-viy-kodi-k10 399/416
7761 pincet-dlya-viy-kodi-k11 399/416
8816 pincet-dlya-viy-lash-secret-pryamiy 399/416
10749 pincet-dlya-viy-lash-secret-vignutiy 399/416
11006 pincet-profesiyniy-dlya-viy-staleks-expert-40-type-5-pryamiy 399/416
11007 pincet-profesiyniy-dlya-viy-staleks-expert-41-type-2-l-podibniy 399/416
11008 pincet-profesiyniy-dlya-viy-staleks-expert-40-type-11-vignutiy 399/416