McDaniels was brought in during the playoffs to serve as an "offensive assistant." He was widely seen as the heir to offensive coordinator Bill O'Brien, who had been hired to replace Joe Paterno at Penn State.
Speaking at a news conference, Belichick also took the time to thank Patriots fans, many of whom greeted the team upon its arrival at Gillette Stadium.
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"It's great to see our fans out there who were here," Belichick said. "To be here when the buses pulled up, that says a lot about those people and the fan base we have here. It's much, much appreciated by all of us."
Belichick added that no big decisions would be made coming off an emotional loss, but said he was "real proud" of the team.
"I have all the respect in the world for the team and the players for what they've done for over six months," Belichick said. "It's not about one game or one play or anything, it's the whole body of work. I really enjoyed coaching this team. I have a lot of respect for them."
The Associated Press contributed to this report