The Frenchman struck in the 36th minute to earn Arsenal a tie against Valencia, just as Napoli, trailing 2-0 from the first leg, were threatening to take control of the game.
In a lively opening half hour, Napoli threatened to make a breakthrough as Jose Callejon's effort was saved by Petr Cech's legs and Arkadiusz Milik had a goal chalked off for offside. Arsenal also lost Aaron Ramsey to an apparent hamstring problem but, just as it seemed things were going against them, they went ahead as Lacazette curled his free kick around a poorly organised wall from 25 metres.
The second half petered out after that as Arsenal sat back and Napoli enjoyed most of the possession but did little with it.