The NFC East side were beaten 27-21 by the Chicago Bears to leave them without a win in 2013.
The head coach told reporters: "We played hard. We fought. We did a lot of good things. We didn't do enough. The last drive would have been sensational to put that ball in the end zone. I think we would have run the time right down to nothing. There probably wouldn't have been much [time] left.
"We obviously put four quarters together. We didn't win the game, so there's no solace in doing reasonably well, but losing. I do think that one of the goals we had was to try to play four solid quarters of championship-quality football. We played hard. We played four solid quarters, and to lose the game under the circumstances that we did with a nice drive going, it was very disappointing.
"The locker room is very disappointed. The guys are frustrated, very frustrated, naturally. But they will stay together and support one another, fight for each other, and we'll prepare ourselves to try to win the next game."
The Giants face the Minnesota Vikings next weekend.