Julia Pacetti, Burnat's publicist, told CNN that Burnat e-mailed her and Moore about how "immigration authorities were telling him he needed to give them a reason for his visit.
"He asked me to send his invitation to the Oscars. But before I did, immigration authorities released him. It was a short-lived situation," Pacetti said.
Burnat told Moore that "It's nothing I'm not already used to" and "When u live under occupation, with no rights, this is a daily occurrence," Moore wrote on his Twitter account.
U.S. Customs and Border Protection said it was prohibited from discussing specific cases.