Barrett, who is from suburban Westmont, was arrested Friday night at O'Hare airport. He faces charges of interstate stalking. Prosecutors say he altered peepholes in hotel room doors so he could record the videos.
Saturday, a judge ordered Barrett to return to California where charges were filed. However, for now, he will remain in custody in Chicago.
Near Barrett's Westmont home, neighbors said the FBI was at Barrett's house Friday night, but residents did not learn the allegations against him until Saturday.
"I guess he's innocent until proven guilty. So, I don't want to jump to conclusions. But if it's true, it's definitely creepy," neighbor Viswanath Kalambur said.
"He's very concerned about the allegations, obviously, as anyone who's never been in trouble before would be. I mean, I don't think Mike's ever had a parking ticket," said Barrett's attorney Rick Beuke.
Barrett is due to return to court Monday to determine if he'll be freed on bond.
Erin Andrews issued a statement Saturday thanking the FBI and prosecutors.