Arsenal had huffed and puffed for 70 minutes before the ball rebounded off Wolves goalkeeper Sam Johnstone and into his own net.
Astonishingly, Wolves pulled level in the 90th minute, but just as the home fans contemplated a damaging draw, the Gunners benefited from a second own goal when Bukayo Saka’s cross was diverted into his own net by Wolves defender Yerson Mosquera in the 94th minute.
Elsewhere, Mohamed Salah played a key role in Liverpool’s vital win against Brighton after an explosive interview raised questions over his future at the club.
The Egypt forward, the subject of intense scrutiny in the build-up to the game at Anfield, came off the substitutes’ bench to huge cheers in the first half, replacing injured defender Joe Gomez.
The home team, whose Premier League title defence has collapsed after a shocking run of results, were leading 1-0 at the time, with France forward Hugo Ekitike on the scoresheet after just 46 seconds.
Brighton squandered a number of opportunities to level and Ekitike scored his second with half an hour to go, heading home Salah’s corner.
Cole Palmer, whose season has been badly disrupted by a groin injury, scored his first goal since September, as Chelsea beat Everton 2-0 to move back into the top four.
Fulham beat relegation-threatened Burnley 3-2. (AFP)