No. Electronic control module is the ECM or as most commonly called the PCM (powertrain control module). GEM is more for body electronics like windows, locks, timing issues, etc.

 

If you look at diagram, you will konw the Blue and Blue/Red wires to GEM for ZX. Is there any GEM in focus? If I type GEM for focus in ebay, it will give me ECM.
Thanks!

 

General Electronic Module - located above passenger kick panel

The box under the hood near the windshield is the main fuse/relay box.

Seldom any issues with this, and it controls a LOT in the car.

 

What is the problem you're having?
Odds are it's not a problem with the GEM, which sits in front of the PCM (on that little swing out plastic arm).

2002.5 there was a switch IIRC.
Older than that will look similar to this:

Newer will look similar to this: