We do indeed offer a 1-1/4-inch Class I hitch for your 2006 Suzuki Forenza, Curt part # C11481, which is a bolt-on product. This hitch includes the hardware you'll use to bolt it in place to existing mounting holes on your Forenza's frame. No drilling or welding are required.
I have linked two helpful hitch installation articles, along with the instructions from Curt, to simplify the installation for you. You will need a torque wrench to install the fasteners to the required specs as noted... view full answer...