Let me share with you my experience.
The best network marketing skills is actually your inter
personal skill. 
The ability to connect with people.
Just two days ago, I left my 1 day old job because it wasn't
suitable for me. I had made new great friends and the executive
impressed me a lot. She was down right personal to every customer.
I can tell she treat every customer like
her old friend from the way they talk. Even when it's a new
customer, she has the ability to make the ordering process a
chatting session with an old friend.
Well, the executive was probably paid 2x my paid, but the amount
of value she created for the customer and client was far more than
what she's getting paid. This is what I called great inter personal
skill.
so... best network marketing skill is actually the ability to
make new friends.