Where is the turn signal flasher on a 1996 Volvo 960?

It's part of the mechanism contained in the hazard flasher switch module. It's really not just a hazard switch but a whole multifunction assembly for regulating activity of the turn lights -- L or R from the stalk, as a hazard set, and for alarm-set flashing.

The unit extends back about 6 inches from the little faceplate, so as you gently nudge it forward out of the faceplate (it's just a friction-fit), be prepared for how long it is.

The harness at the back has two plastic retainers, one on each side. See how they have to be bent -- very slightly and very gently! -- for the harness to slide out. BUT -- before taking off the harness, be sure to tie a cord securely around the wires behind it, so it will not slip back out of reach! (There is a lot of tension on it, as you pull out the assembly.)

I just discovered the above this morning, so I could check the continuity of the leads in the wiring harness, to be sure the wires and lights all worked and the switch unit really was the culprit, for my left-signal always on symptom. I'm glad i did check first, because the symptom recurs, when I connect the power (lead #6) and whatever is lead #9 -- so the way-expensive hazard unit seems not to be the problem (and it works fine for flashing all four and flashing right -- just not the left or all when the key is on). I'll have to ask you all about that situation -- but if someone as ignorant as i am the only one to answer the question I just did, I don't have high hopes of someone else answering my followup question!