According to Wikipedia,
Theoretically, in a typical dark sky, the dark adapted human eye would see the about 5,600 stars brighter than +6m while in perfect dark sky conditions about 45,000 stars brighter than +8m might be visible.
(By the way, "+6m" means stars of apparent magnitude 6 or brighter.)
Under the best conditions, a person could see 45,000 stars. That's quite a lot. However, the Milky Way alone has over 200 billion stars (and that's a low estimate!). So we can only see a small fraction of the total stars in the Milky Way. Earth-based optical telescopes can do a lot better, though.
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