That's a correct sentence. But you'd only use it where the past perfect was needed.
The fact that he's already quit is implied by the simple past. "He worked ... until ..."
Can you think of a context in which you'd need the past perfect?
Some grammar books say that we use the present perfect with recently, but we also use the simple past too, though when the verb is negative the present perfect is more common, but it's certainly wrong to talk of a rule about using the present perfect with it.
You may notice a difference between British and American usage in these past tenses. Americans often use the past tense where Brits would use the perfect. .For example, (British) have you seen the movie yet? (US) Did you see the movie yet?(British) No, I haven't seen it yet; yes I have seen it. (US) No I didn't see it yet; yes I saw it already.There is no rule against using the perfect with 'recently'. E.g. I haven't seen him recently; I have spoken to her recently, etc,