Jesus left the field at the break arguing with the officials, minutes after he was clattered by Ben Godfrey on the edge of the box, a late challenge which earned the Everton defender a booking.
Watched by a crowd of 39,245 at the M&T Bank Stadium, the Gunners named a strong starting line-up with defender William Saliba making only his second appearance in an Arsenal shirt, and Thomas Partey in midfield, while Everton's line-up looked more experimental with Niels Nkounkou and Nathan Patterson among the starters.
Toffees boss Frank Lampard continued that theme at half-time, changing all 11 players with former Gunners winger Alex Iwobi, Michael Keane and former Burnley defender James Tarkowski among those introduced.
Arteta brought on four more players as the game entered the final 20 minutes, reverting to a back four with youngster Reuell Walters given a chance at left-back.
The game's competitive edge was inevitably blunted by all the substitutions but Arteta will have been pleased with how sharp Jesus -- who scored twice against Nurnberg in Germany in his first appearance -- and Saka both looked, while Odegaard was typically intelligent in possession.
Saliba was composed and unflustered in dealing with Everton's sporadic threat before he was withdrawn for the final 19 minutes.
Arsenal will travel to Orlando on Sunday to continue their tour of the United States.