"To be honest with you, I heard all the talk after the trade," Archer said. "I used that to motivate myself."
Archer won a combined 15 games between Single-A Daytona and Double-A Tennessee. He'll pitch for Team USA in the Pan American Games in early October.
The Cubs passed the 3 million mark in home attendance on Saturday. It marks the 7th straight season the team has drawn 3 million or more. The Cubs are Chicago's only pro franchise to draw 3 million or more in a season.
The Cubs' 14 September wins are the most of any month in the season.