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 (
    10102, 10643, 10178, 10177, 10606, 10644, 
    10101, 10175, 10100, 15962, 15961, 
    15960, 15959, 10094, 10093, 9813, 10097, 
    9760, 9759, 9934, 9933, 9932, 9931, 
    9936, 9947, 9953, 9952, 10074, 10096, 
    10075, 10602, 10087, 10130, 10603, 
    10135, 10134, 10139, 10138, 10137, 
    10141, 10143, 10142, 12628, 12627, 
    12629, 10095, 10195, 10194, 10193, 
    10190, 10496, 10198, 10202, 10201, 
    10200, 10227, 10226, 10651, 9945, 10642, 
    10601, 9727, 9728, 9729
  ) 
  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 0.00119

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": 128,
      "filtered": 100,
      "index_condition": "cscart_seo_names.object_id in (10102,10643,10178,10177,10606,10644,10101,10175,10100,15962,15961,15960,15959,10094,10093,9813,10097,9760,9759,9934,9933,9932,9931,9936,9947,9953,9952,10074,10096,10075,10602,10087,10130,10603,10135,10134,10139,10138,10137,10141,10143,10142,12628,12627,12629,10095,10195,10194,10193,10190,10496,10198,10202,10201,10200,10227,10226,10651,9945,10642,10601,9727,9728,9729) 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
9727 for-rest-col-03 265/280/291/1671
9728 for-rest-col-04 265/280/291/1671
9729 for-rest-col-05 265/280/291/1671
9759 podushka-dekorativnaya-erwin-ii-01-30h50 265/271/275
9760 product-9760 265/271/275
9813 kingsman-games-col-04 265/280/286/1666
9931 product-9931 265/271/275
9932 product-9932 265/271/275
9933 product-9933 265/271/275
9934 product-9934 265/271/275
9936 product-9936 265/271/275
9945 for-rest-col-01 265/280/291/1671
9947 product-9947 265/271/275
9952 podushka-dekorativnaya-respect-11-30h50 265/271/275
9953 product-9953 265/271/275
10074 podushka-dekorativnaya-respect-11-50h50 265/271/275
10075 podushka-dekorativnaya-respect-04-50h50 265/271/275
10087 product-10087 265/271/275
10093 kingsman-spy-col-04 265/280/286/1666
10094 kingsman-col-04 265/280/286/1666
10095 kingsman-games-col-05 265/280/286/1666
10096 kingsman-spy-col-05 265/280/286/1666
10097 kingsman-col-05 265/280/286/1666
10100 podushka-dekorativnaya-romantika-52-30h50 265/271/275
10101 podushka-dekorativnaya-salon-06-30h50 265/271/275
10102 podushka-dekorativnaya-esckimo-04-30h50 265/271/275
10130 product-10130 265/271/275
10134 podushka-dekorativnaya-simmetrika-i-01-45x45 265/271/275
10135 product-10135 265/271/275
10137 podushka-dekorativnaya-target-soft-04-45x45 265/271/275
10138 product-10138 265/271/275
10139 podushka-dekorativnaya-persona-03-50h50 265/271/275
10141 podushka-dekorativnaya-simmetrika-i-02-v-50h50 265/271/275
10142 product-10142 265/271/275
10143 product-10143 265/271/275
10175 kingsman-games-col-03 265/280/286/1666
10177 kingsman-games-col-02 265/280/286/1666
10178 kingsman-spy-col-02 265/280/286/1666
10190 podushka-dekorativnaya-garmoniya-grafika-07-30h50 265/271/275
10193 podushka-dekorativnaya-garmoniya-bukle-05-30h50 265/271/275
10194 podushka-dekorativnaya-garmoniya-grafika-09-30h50 265/271/275
10195 podushka-dekorativnaya-magnifico-05-30h50 265/271/275
10198 podushka-dekorativnaya-salon-01-30h50 265/271/275
10200 podushka-dekorativnaya-impulse-i-01-30h50 265/271/275
10201 podushka-dekorativnaya-impulse-i-02-30h50 265/271/275
10202 podushka-dekorativnaya-salon-04-30h50 265/271/275
10226 podushka-dekorativnaya-winnie-02-30h50 265/271/275
10227 podushka-dekorativnaya-inspiration-plain-03-30h50 265/271/275
10496 podushka-dekorativnaya-erwin-ii-03-30h50 265/271/275
10601 for-rest-col-02 265/280/291/1671
10602 product-10602 265/271/275
10603 product-10603 265/271/275
10606 kingsman-col-03 265/280/286/1666
10642 podushka-dekorativnaya-respect-20-50h50 265/271/275
10643 kingsman-col-02 265/280/286/1666
10644 kingsman-spy-col-03 265/280/286/1666
10651 product-10651 265/271/275
12627 tureckiy-kover-botanica-bone-bone-200x300 265/266/267
12628 tureckiy-kover-elegant-bone-bone-200x300 265/266/270
12629 tureckiy-kover-zebra-bone-bone-200x300 265/266/270
15959 komplekt-podushek-19 265/271/272
15960 komplekt-podushek-20 265/271/272
15961 komplekt-podushek-21 265/271/272
15962 komplekt-podushek-22 265/271/272