Circuit/System Verification
WARNING: This page is about a different car, the 2008 GMC Yukon XL, 2008 GMC Yukon, 2008 Chevrolet Tahoe, 2008 Chevrolet Suburban, and 2008 Chevrolet Avalanche. However, it is still accessible from the selected car via links, so may be relevant.
Verify that DTCs P0961, P0973, P0976, P2764, P2769 have not set, if so, diagnose first. With a scan tool, command the 3-2 downshift solenoid ON and OFF.