Does the door have a strap to pull it closed? If so, under the ends of the strap, will be two BIG screws holding the panel to the door. On my last Olds, the end of the strap covered the screws. To remove them, I needed to pry the end of the strap out of the bezel and lift it up, there underneath was the big phillips head. On that same car, there were screws underneath the armrest which was snapped in place with plastic lugs and held on each end with hidden screws. One was under a switch assembly, the other hidden under a reflector that had to be pried out. Hey wait! I've got a '95 FSM (duh!) It might give a picture. Let'* look...
OK, the picture is really poor, and the captions are incorrect (!) Here is the written description for H-body olds front door panel removal:
Disconnect negative battery cable
Remove two trim panel retaining screws (I think these are on the pull handle under the window switch plate)
Slide pull handle lower inboard to disengage from window switch plate
Remove window switch plate
Remove door lock switch plate (under door latch handle)
Remove trim panel retainers and trim panel