With credit card, that easy? I had some fraudulent transactions in my credit card and I had to

a) File a police report b) Do an (offline)report and document every transaction I considered to be fraudulent c) Sent these reports to the bank, where they would go thru it (some sort of committee) and if accepted I would be refunded.

Quite-a-hassle, took several hours to do those reports...

(This is Danish/Finnish bank, Danske Bank. I'm no longer their customer)