The striker scored a injury-time goal to sink Arsene Wenger's side, who had Johan Djourou sent off for a second yellow card, after Steve Sidwell equalised five minutes from the end of normal time.
“I don’t know how we’ve done it, to be fair – just hard work and togetherness,” Zamora admitted to Sky Sports after the match.
“We’ve been working hard all season and we haven’t really got the results at home that we’d always wanted but today caps off a good performance and hard work.”
Martin Jol’s men have had a tough winter period, suffering a 5-0 defeat at home to Manchester United before battling to a 1-1 draw with Chelsea and conceding an injury-time equaliser to Norwich City in their most recent outing.
Zamora argued that the thumping by the title holders was an aberration that the Cottagers had done well to pick themselves up from.
“As I say, it’s all togetherness. We want to do well,” he continued.
“The Manchester United game wasn’t like us at home, to be honest – they took their chances and we didn’t play too well, but the togetherness that the boys have got and the resilience have shown tonight.”
The former Tottenham striker laughed off recent reports that he had fallen out with the club’s management and was set to leave.
He said: “You guys in the press like to write whatever you want, really, and a lot of it’s been blown out of all proportion, but I’m just looking forward to playing, doing well and hopefully scoring some more goals.
“I’ve got a few years on my contract yet.”
Meanwhile, fellow goalscorer Sidwell insisted that Fulham were fully deserving of the points, having put the Arsenal defence under constant pressure in the second half.
“We knew we’d finished the first half on a high and, at half-time, we just said ‘keep plugging away, start creating pressure and take the game to them’, and we’ve done that and got our reward in the end,” the midfielder stated.
“I don’t think [Djourou’s red card] mattered, really, we were on the front foot at the time.
“We sensed a goal coming and obviously we got the first, then we pushed for the second and fortunately we got it.”
The win lifts Fulham up to 13th in the Premier League, level on 23 points with Swansea City and Aston Villa.
How do you stay up to date with football when on the move? With http://m.goal.com – your best source for mobile coverage of the beautiful game.