I have a 2001 saturn ls and the fuel pump want

The pump has power, but does it have a ground? I've never seen a fuel safety cut off switch on a Saturn before. Usually those switches cut power to the pump and if you verified that it has power then you can rule out the possibility of a switch being tripped. Did you change the whole module or just the pump? How did you verify that the pump is still not working?

This worked for my '01 Alero (GM as well): While the key is in "on" position and your security light is blinking, it is probably your "Passlock" security device acting up. Very common in these years for GM cars. To test if this is it, simply turn your key forward (to "on" position) until light stops blinking and eventually turns off (right around 10 minutes). Then, turn key back off, and then try to restart it. My Alero did this just yesterday and I learned this trick as I was pricing out a new fuel pump. If this was your problem, I recommend taking it to a remote starter installer and have them by-pass the passlock system permanently. This should cost anywhere from $40-$100, but is much better than a new fuel pump and filter cost.
-note: I recommend not getting it by-passed until it happens a second time (which it may not), just don't forget the temporary fix!