The Gunners were fortunate to escape with all three points after late goals from Aaron Ramsey and Olivier Giroud, with manager Arsene Wenger clearly relieved at the full-time whistle.
Next up for Arsenal is a trip to Stoke City, a fixture in which they have often struggled, but the Potters look there for the taking and an attack featuring Mesut Ozil, Danny Welbeck and club-record signing Alexandre Lacazette can thrive.
Arsenal will be seeking to extend a run of six straight Premier League wins when they travel to Stoke and Welbeck is primed to shine for the Gunners again.
Although it was Lacazette and Giroud who stole the headlines on opening night, Welbeck had arguably been Arsenal's star performer for much of the game, causing the Foxes all sorts of problems with his pace and intelligent movement.
Welbeck's performance certainly deserved a goal and his first scorer odds have been boosted from 5/1 to 6/1 (7.0) by dabblebet for Arsenal's trip to Stoke.
While Stoke have traditionally upset Arsenal, it was not the case last season as a Giroud brace helped Wenger's men to record a comfortable 4-1 win against Mark Hughes' side.
The arrivals of Lacazette and Sead Kolasinac have added extra brains and brawn to the Gunners side, although they will again be without star man Alexis Sanchez due to injury this weekend.
Stoke looked blunt against Everton last time out, losing 1-0 at Goodison Park, and another narrow defeat could be on the cards for one of the dark horses for Premier League relegation.
A 1-0 win to Arsenal, boosted from 7/1 up to 8/1 (9.0) with dabblebet, could therefore be a tempting option on the correct score market for Saturday's late game.