Odemwingie will sit out their game while the club consider what punishment to hand down to the 31-year-old.
Villas-Boas found the whole situation baffling.
"It's a very difficult situation, very strange," the Spurs boss said, laughing. "It's really surprising for a player to make a trip over to another stadium and no-one is expecting him.
"We could say something got lost in translation. It's incredible."