The Premier League side produced their best performance since Pochettino took the reins when cruising to a 4-0 victory over QPR on Sunday.
Led by rejuvenated stars Erik Lamela and Nacer Chadli, Tottenham dismantled their London rivals to keep up their exceptional form.
And Pochettino now turns his attentions to Europe again on Thursday as Tottenham attempt to book their place in the competition proper having already triumphed in Cyprus.
"We have an unbelievable squad, so if we play together we can achieve something," he said.
"When you win it is important to keep calm.
"It is only the beginning of the season, but it is important to win because it makes it a little bit easier to develop your philosophy."
The north London side are two-time winners of the competition, in 1972 and 1984, yet have not reached the last-four stage since.
AEL, meanwhile, are in Europe's secondary tournament having succumbed to Zenit in their Champions League qualifier.
Valentinos Sielis and Luciano Bebe were the goalscorers, both netting in the second half.
It was the introduction of Lamela that sparked a turnaround, the Argentinian assisting goals for Roberto Soldado and Harry Kane to give Tottenham an edge that they hope to take full advantage of at White Hart Lane.
