The Service Stabilitrak/Traction Control Light on my 2011 Traverse LTZ has been coming on and off for a few months. However, I had to prioritize the number of issues that needed to be solved and fixed before entertaining this intermittent issue. Now, with everything solved and fixed, except for that rear A/C, I fixed the stabilitrack/traction control by replacing the Brake Pedal Position Sensor (ACDelco 25912943).
First, I took the cover off above the pedal by unscrewing the 10 mm screw and using a flat head screwdriver to pry the three tab buttons out about 1/2 inch.
Second, I squeezed the tab on the blue dotted connector and pulled it off.
Third, I used a 7 mm ratchet to unscrew the one screw, and off it came.
I simply installed the new one. The brake pedal position sensor pivots, so it makes it easy to reinstall. The "Service Stabilitrak/Traction Control Off" light is off, the brake lights no longer stay on, and I am now able to use my cruise control.
First, I took the cover off above the pedal by unscrewing the 10 mm screw and using a flat head screwdriver to pry the three tab buttons out about 1/2 inch.

Second, I squeezed the tab on the blue dotted connector and pulled it off.

Third, I used a 7 mm ratchet to unscrew the one screw, and off it came.

I simply installed the new one. The brake pedal position sensor pivots, so it makes it easy to reinstall. The "Service Stabilitrak/Traction Control Off" light is off, the brake lights no longer stay on, and I am now able to use my cruise control.