Yes, the harness you linked to would work to bypass your factory amp. I don't know for sure that the '01 Impala amp is the same, but since they call for the same harness to bypass it I'd assume (hate doing that) the circuitry is the same and therefore interchangeable.

bypass
 

Sorry for the lack of knowledge, but with that bypass harnesss, Am i understanding this correctly that if i buy this and plug the wiring from the amp into it instead of the amp, the sound will then just come out of the speakers without going through the amp? Sorry, I feel dumb, but am clueless when it comes to this...:o
Amazon.com: Metra 70-2021 Amplifier Integration Harness for 2000-2001 Chevrolet Impala/Monte Carlo: Car Electronics

Hey, does anyone have a good working stock amp for my 2001 Monte Carlo S.S. they would consider selling? My numbers on my amp. are 10309547, ref # is CY-BG2912ZC.
Plz. reply to riverbill@npgcable.com.

Thanks, Bill in Arizona

Can get one for $35+shipping

2001 Monte Carlo Amp
 

If you have a good amp please e-mail me direct at riverbill@npgcable.com

Monte Carlo SS 2002 AMP
 

Selling this AMP as I ended up not needing it. The last guy that owned the car butchered the wiring harness in the doors.