In 2001, Parker switched to the No. 36 GNC Live Well Chevy for Cicci-Welliver Racing. He finished 15th in points, and collected his first win at the Auto Club 300. At the end of the season, his team was sold to Wayne Jesel and switched to Dodge for the 2002 season. He won another race at Pikes Peak International Raceway and had eight top-tens. He also made his Winston Cup debut, driving the No. 91 USG Dodge for Evernham Motorsports at North Carolina Speedway. He started 25th and finished 33rd, four laps down.
