Hook: Floor Small (Green Square)The Imperial Medic decoration fits into a small green square floor hook.
Hook: Floor Medium Narrow (Blue Rectangle)The Imperial Medic decoration fits into a narrow blue medium rectangle floor hook.
How to Get an Imperial Medic Decoration
Bought and sold on the GTN from other players
Bought with Cartel Certificates
The Imperial Medic decoration costs 1 Cartel Certificate and can be bought from the Cartel Market Certificate vendor, who is found on the fleet in the Strongholds & Crew Skills section, near where you can purchase decorations for credits and where you can buy your stronghold.
Cartel Certificates are extremely rare, and only drop from some of the older Cartel Packs and as a rare drop from the Contraband Slot Machine.
If you're looking to get a Imperial Medic deco and don't have any Cartel Market Certificates, this type of decorations can be bought and sold on the GTN - but they are usually quite expensive due to the scarcity of the Cartel Market Certificates.