The Giants demolished the Eagles 42-7 on Sunday in the season finale for both teams.
Afterward, reports circulated that Eagles coach Andy Reid has been informed that he will be fired.
Moments after finishing his worst season with the Eagles (4-12), Reid said he would like to return for the final year of a contract that will pay him $6 million next year.
Reid denied the multiple reports that indicate he has already been dismissed. He said he expects to meet with owner Jeffrey Lurie on Monday.
"I've been doing it a long time. I have respect for Jeff Lurie. I go in eyes wide open," Reid said. "Either way, I understand. Whatever he chooses will be the right thing. He always does things for the best interests of the Eagles."
Starting for the first time since a concussion against Dallas in early November, Michael Vick threw a 7-yard touchdown to Jeremy Maclin.
Vick finished 19 of 35 for 197 yards and one interception before being replaced by Trent Edwards.
The Eagles had hoped to send Reid out on a positive note, but they played poorly.
"We came, we stunk it up and we lost," defensive tackle Cullen Jenkins said. "It was terrible. No heart."
Vick, replacing injured rookie Nick Foles, was also reluctant to discuss his future, but he felt for Reid, who gave him a second chance after he got out of prison.
"He's a great man and I love him to death," Vick said. "I wish I could've done more. A lot of players wish they could've done more. Coaches can't play the games."
The Eagles surprised the Giants on a cold and windy day with an onside kick to open the game.
However, turnovers have hurt the Eagles all season, and it happened again when Stevie Brown came up with his eighth interception.
The Giants (9-7) saw their playoff hopes end minutes after the win when Chicago beat Detroit 26-24 to eliminate the defending Super Bowl champions from playoff contention.
It marks seven straight seasons the Super Bowl champion has failed to win a playoff game the following year.
It also marks the first time since 1971 that no Pennsylvania or New York team will be in the playoffs in a non-strike season.
The Giants came into the regular-season finale needing to beat the Eagles (4-12), have Chicago and Minnesota lose and have Dallas either lose or tie against Washington to advance to the postseason.
The Bears ended the Giants' hopes on a day Eli Manning threw a career-high five touchdown passes.