Thomas Vermaelen scored at both ends of the pitch on the day.
Fulham may have failed to improve their terrible away form with a rare win, but Cottagers boss Martin Jol feels his team can still take a lot of credit from their battling display.
He said: "A draw for us is a satisfying result.
"In the first half, we had 50/50 possession, with seven attempts on goal. But we could not play our football in the last 15 minutes.
"We tried to pass it and get it to the front players, but to get three points, you have to do a bit more."
Jol added: "Arsenal had played a difficult game in the Champions League this week, but you still have to work hard against them, because they have a winning mentality and showed that in the second half when they were 1-0 down, they did everything to score.
"But with their form over the past six weeks, a draw is pleasing for us."