A couple of hundred fans and about a half-dozen TV cameras were waiting for the team when they arrived back in Boston.
Fans started cheering when the buses arrived and roared when catcher Christian Vazquez got off the second bus holding the trophy.
Cora left the park wearing a gray sweatshirt with a hood over his head, walking down the street briefly unnoticed before he was followed and surrounded by about a dozen fans. He stopped a couple of times to sign autographs.
He was asked, "How does it feel to be a world champion?"
"Different," Cora said before he strolled away.
The city of Boston has planned a parade of duck boats for Wednesday.