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 (
    516, 10213, 10220, 10078, 8863, 9839, 
    10174, 388, 395, 7352, 8873, 9855
  ) 
  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 0.00048

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
388 roof-window-fakro-roof-window-fts-v-u2 412/432
395 roof-window-fakro-ftt-u6-thermo 412/432
516 roof-window-slim-pine 412/922
7352 fakro-arp 412/897/899
8863 roof-window-velux-gll-1061b 412/482
8873 roof-window-velux-ggl-3062 412/482
9839 velux-roller-blind-rfl 412/897/898
9855 velux-solar-awning-blind-msl 412/897/898
10078 roof-window-velux-gll-integra 412/482
10174 roof-window-velux-glu-integra-plus 412/482
10213 roof-window-velux-ggu-0068 412/482
10220 interface-for-external-wall-switch-velux-integra-klf-050 412/468