I think that based on common usage, your friend is correct. For clarity, I would suggest using either "this coming Friday" or Friday of next week" as appropriate.
Well, I'm an Englishman and the term should have been "Friday Next"
Years ago we invited our next door neighbors to dinner.= (verbally).
Words were like, This Saturday 7pm.
Come 7pm, nobody turned up. Called to see what was happening -
The Wife answered saying we're in bed because you didn't confirm.
Confirm ?
Didn't invite them again.
After being here a few years, went back to visit. Sister loaned me her car which
my Brother delivered to me. He reminded me to drive on the left. Of course I said
pointing out that I'd driven in London for seven years. I drove off and suddenly
found myself looking at the face of the driver of a London double decker. Whoops.
Crossing the road was my biggest challenge.
KTK