men can actually have good female friends without wanting to sleep with them, i know i can.

I will jealous if my bf got a close female friend.

I will jealous, and also will tell him how I feel. Ask him, if I also have a good male friend, how would he feel?

Of course, I won't tell him not to communicate with his friends

The most important thing is the communication between the two parties

Depends what type of girl you are and the bf's best friend is. If the relationship is pretty solid platonic, and the girlfriend can understand and ok with it, ok la. If not, why rock the boat and create drama?

no good female friend is allowed ?

Not really, you're living in nutshell if that's the only thing you can think off.

But well, reply to OP (Original Post), depends on how close they're, if you're not comfortable w it, just tell your BF. Regardless of whether they're normal close, flirty close friend, or some even touchy.