Newcastle s fourth successive win ended Arsenal s unbeaten run of seven games in all competitions.
The Magpies came from behind to win 2-1 against the Gunners, with Matt Ritchie scoring the victor just as he did against Manchester United in February.
The decision not to bring in the system next season was made at a recent Premier League shareholders meeting in London, when all 20 member clubs voted.
Arsenal manager Arsene Wenger admits his team are in a "negative spiral" after they lost a fifth consecutive Premier League away game at resurgent Newcastle.
Newcastle have now won their last four Premier League matches, and the victory has moved them onto 41 points - 13 points clear of the relegation zone.
Perez delivered a fine finish for the goal, drifting in at the near post to glance home a right-wing cross from DeAndre Yedlin.
Calum Chambers could have restored Arsenal s lead before the interval, but the defender shot wide from Mustafi s knock down.
Arsenal, still without a point away from home in the Premier League in 2018, remain sixth, just two points above seventh-placed Burnley.
More sloppy Arsenal defending let in Islam Slimani and his header was flicked on by Perez to Ritchie, who beat Cech from close-range.
Arsenal dominated possession in the final stages but failed to test Newcastle goalkeeper Dubravka; the only scare occurred when the Slovakian dropped a cross and Lacazette hit the side-netting from a tightangle.