Recognizable and recognisable are both English terms.
Recognizable is predominantly used in 🇺🇸 American (US) English (en-US) while recognisable is predominantly used in 🇬🇧  British English (used in UK/AU/NZ) (en-GB).
In terms of actual appearance and usage, here's a breakdown by country, with usage level out of 100 (if available) 👇:
| Term | US | UK | India | Philippines | Canada | Australia | Liberia | Ireland | New Zealand | Jamaica | Trinidad & Tobago | Guyana | 
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| recognizable | 98 | 22 | 51 | 100 | 95 | 24 | 0 | 23 | 36 | 100 | 0 | 0 | 
| recognisable | 2 | 78 | 49 | 0 | 5 | 76 | 0 | 77 | 64 | 0 | 0 | 0 | 
Below, we provide some examples of when to use recognizable or recognisable with sample sentences.
(Examples are Wikipedia snippets under the CC ShareAlike 3.0 license.)