The 28-year-old made a point-blank save from Kevin Nolan when his side were 1-0 down against West Ham on Wednesday but prefers to credit the resolve shown by the group as they recovered to win 2-1.
Steve Sidwell equalised for Fulham and Nolan was then sent off prior to Dimitar Berbatov's winner, which moved Rene Meulensteen's side out of the Premier League relegation zone.
"I wouldn't say my save was pivotal," Stockdale told the club's official website. "I'd say the second goal was pivotal as it won us the game. I'm just doing my job and, if I can keep the lads in the game, then so be it.
|11/2||Fulham are 11/2 with William Hill to beat Norwich City to nil in the FA Cup|
"We're in a relegation battle and we won't get out of it by sitting back and looking at individual performances - we have to play as a team.
"You saw the character we possess to come from 1-0 down. We had a little bit of help with the sending-off but, even at 1-0, we had chances to get back into it."
Victory over West Ham was particularly welcome for Fulham given their 6-0 hammering at the hands of Hull City on Boxing Day.
"We thought it was such a freak result at Hull that we couldn't dwell on it," Stockdale added. "If we'd lost 1-0 in the last minute we might have thought about it more.
"You can't think about results too much – we can't think about West Ham really now as we need to get back on the training pitch ahead of an FA Cup game at Norwich City [on Saturday] that we want to win but we're delighted to get six points out of a possible nine over the festive period. We've now got to use these two victories to push on and get up that table."