Translation:The journalist invited the actor for an interview.
"For interview" is 100% correct here in the UK. I have been invited this way many times
I am an Australian English speaker. We consider it correct to use the correct article of either an or the necessary to include in this sentence when speaking of an event.
With an being an unspecified interview. And interview in general.
While the if it a specific interview you are referring to.
Being something like an interview or a party. That it would be incorrect to NOT use an appropriat article.