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 (
    10353, 8875, 9968, 8869, 526, 10355, 
    8886, 9838, 8891, 10211, 706, 10222
  ) 
  AND cscart_seo_names.type = "p" 
  AND cscart_seo_names.dispatch = "" 
  AND cscart_seo_names.lang_code = 'en' 
  AND (
    cscart_seo_names.company_id = 1 
    OR cscart_seo_names.company_id = 0
  )

Query time 0.00057

Explain
id select_type table type possible_keys key key_len ref rows Extra
1 SIMPLE cscart_seo_names range PRIMARY,dispatch PRIMARY 210 24 Using index condition; Using where

Result

product_id seo_name seo_path
526 roof-window-trio-pvc 412/922
706 fakro-xdk-xdp-xds-insulation-set-en 412/947
8869 roof-window-velux-ggl-3066-integra 412/482
8875 roof-window-velux-gpl-3070 412/482
8886 roof-window-velux-ggu-0066-integra 412/482
8891 roof-window-velux-gpu-0070 412/482
9838 velux-roller-blind-rhl 412/897/898
9968 fakro-handle-with-lock-zbh 412/947
10211 roof-window-velux-gpu-0068 412/482
10222 roof-window-roto-designo-r79h 412/890
10353 fakro-roof-window-ftu-v-u4 412/432
10355 fakro-roof-window-ftw-v-u4 412/432