Towards the end of the first half, with Arsenal 3-0 up and the game effectively over, Aubameyang got in on the act.
Despite the loss of Alexis Sanchez to Manchester United and the oft-underrated Olivier Giroud, this is all very encouraging.
Wenger praised midfielder Ramsey's ability to take up unsafe positions in the penalty area, adding: "He always has between 10 and 15 goals, at least, in his locker".
Aubameyang is without a doubt one of the most lethal finishers in the game, but Everton have been handed a huge boost as he won't be likely available for selection. He doesn't rush it, and that's maybe the secret to being efficient.
She then poses with the famous red and white Arsenal jersey, before exclaiming: "I'm a Gooner" - much to the delight of the players.
"In the first half we were quick, mobile, technically very sharp and we finished very well as well". Technically, they are good.
"The quality of his movement was excellent, the quality of his finishing looks excellent", said Wenger afterwards.
Everton looked more organized in the back in the second half and were getting into the game as Arsenal also slowed down the pace.
Ramsey netted the opener after just six minutes, netting from close-range via a Mkhitaryan assist.
Aubameyang made his first significant contribution after 13 minutes, shooting wide after another good contribution from the industrious Ramsey. A simple front post corner found Shkodran Mustafi's head and the German's deep header fell straight into the path of Laurent Koscielny to score.
Everton conceded three times in the opening 20 minutes amid defensive chaos, with Ramsey touching in the opener from Mkhitaryan's cross.
But what Arsenal have got is a player who is clearly determined to prove a point - and he did exactly that.
After 37 minutes with Arsenal 4-0 up and looking fantastic, to call for the manager to go looked more than a bit ridiculous.
Iwobi appeared to threaten Everton's defence more often than not down the left flank and it was certainly an encouraging and morale-lifting outing for him.
Everton would eventually get one back, with Dominic Calvert-Lewin heading in from a Cuco Martina centre.
It is away from home where Arsenal must improve and at Spurs they could be without goalkeeper Petr Cech, forced off with a calf injury here, after colliding with Oumar Niasse. The impressive Henrikh Mkhitaryan cut the ball back for Aaron Ramsey who steered it home to grab the first hat-trick of his career.