"I want to talk to the doctor."

Translation: Chcę rozmawiać z lekarzem.

[ol_my]

What is wrong with ''Chcę mówić z lekarzem''?

[Jellei]

Generally we use "(po)rozmawiać" for having a conversation, although I can imagine a native using your version. I think it's colloquial.

[JanKLinde]

Seems quite impolite... Or doesn't it sound so to Polish ears?

[Jellei]

It may sound a bit impolite, I guess. "[Chciałbym/Chciałabym] porozmawiać z lekarzem" would be better, but then of course that's "I would like", not "I want".