Michael Vick's status remains questionable, however.
McNabb's future was questioned because he has one year left on his contract and he's failed to lead Philadelphia to a Super Bowl victory in 11 seasons.
"That's my call," Reid said Monday when asked who will make the decision to bring McNabb back. "I think he's a great player. His work over the last 11 years has proven that. I truly believe it's a team sport; it's not one guy."
After the loss, McNabb said he wanted to return to Philadelphia.
The Eagles have a $5 million team option available for Vick.
The backup who joined the team before last season after a 2½-year prison stay for his role in a dogfighting ring said Sunday that he continues to hold lofty goals.
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"Everybody wants to be a starter in this league and everybody wants to play," Vick said, according to The Philadelphia Inquirer. "That should be your goal. The ambition you should have is to want to be great. ... I know I can still play at a high level."
Vick, 29, said he would be happy to remain with Philadelphia.
"I would hope so," Vick said, according to the newspaper. "I tried to be the best ambassador that I could be in the community, the best football player that I could be. And that won't stop. I'll continue to do that, and I'll continue to work hard."
Vick said his performance this season spoke for itself.
"I feel like I'm probably better than I ever was in my career, as far as the mental aspect of the game," he said. "Physically -- that will come. That is easy."
Information from The Associated Press was used in this report.