Hi Davood ¨My father was afflicted with cancer last year¨ We generally would say My father was diagnosed with cancer last year.

It's correct, although using the word "afflicted" like this is rather formal and not very common. People in the USA would more commonly say "My father was diagnosed with cancer last year." The most casual way to express this would be to say, "My father got cancer last year." By the way, my sympathies on your father's illness.