The result sees Fulham edge closer to the drop in 18th position while Arsenal remain in ninth place.
There was also another injury blow for Mikel Arteta’s side as Alexandre Lacazette limped off in the second half with a hamstring problem.
“I’m delighted to get a goal and salvage a point for the team,” Nketiah told Sky Sports.
“Credit to Fulham for getting back in the game and getting the goal, but we were good in the last 30 minutes and we deserved at least a point,” he added.
The hosts had a great chance to open the scoring inside 33 seconds but Gabriel Martinelli looped the ball past the post from close range.
Fulham also came close after 21 minutes when Maja reacted first to a deflection but his shot trickled wide.
Maja converted from the spot for a record-equaling 87th penalty scored in the league this season.
However, in the last minute of the game, Arsenal substitute Nketiah rescued a point after reacting quickest to Areola’s save inside the box.