Appearing on The Dan Patrick Show, Foles was asked about not being able to interact with Brady on the field.
"I didn't realize the camera was on me. ... I was looking for him real quick," Foles said. "We'll find a time down the road."
The Bucs entered Thursday's game riding a three-game winning streak and in first place in the NFC South. Brady was coming off a Week 4 win over the Los Angeles Chargers in which he threw five touchdowns for the first time since 2017.
Thursday was arguably Brady's worst game of the season thus far. The three-time NFL MVP threw for 253 yards and one touchdown, but he was hit eight times and sacked three times by Chicago's defense. He seemed to forget what down it was on Tampa's final offensive play when his fourth-down pass to Cameron Brate was batted down by DeAndre Houston-Carson.
After Foles appeared to be looking for Brady on the field after taking a knee to run out the clock, Brady was seen on camera heading to the Buccaneers locker room.
This marks the second time Brady has been embroiled in a handshake controversy with Foles. He didn't congratulate Foles on the field after the Philadelphia Eagles' 41-33 win over the New England Patriots in Super Bowl LII.