After the club's relegation from the Premier League was confirmed on Saturday, the goalkeeper is keen to end the season with a flourish to appease the supporters
The goalkeeper struggled to contain his emotions after Fulham's fate was sealed, courtesy of an emphatic 4-1 defeat to Stoke City at the Britannia Stadium.
Fulham's 13-year stay in the Premier League will come to an end after next weekend's home game against Crystal Palace and Stokedale is keen to see off the season with a flourish ahead of their demotion.
"We have to do it for the fans. We have to get three points for the fans, because that's all they deserve - nothing less," Stockdale told the club's official website.
Reflecting on a miserable afternoon for Felix Magath's men at Stoke, the goalkeeper expressed gratitude for the support Fulham received from their fans.
"What can I say? They're the best thing about today," he added.
"They stayed until the end, they clapped, they stayed until after the whistle. They stayed with us through the lows and I think they deserve better than that.
"It's hard to stand here and put anything into words really.
"I've gone through [relegation] before on loan [with Plymouth Argyle], but never for one of the clubs that I love, which is Fulham.
"They gave me a chance, and it's just disappointing you can't give it back to keep them where they belong."
Asked if he had a message for Fulham's fans, Stockdale said: "Stick with us. We're trying to bounce back next year. There are a lot of players who believe in the club and want the club to be back where it belongs."