The Reds knocked Sevilla out of the Europa League on one of the most unforgettable nights in the club's history on Thursday and Slomka hopes the momentum from that success can now be maintained in the Bundesliga.
Hannover have made an unbeaten start to the season with two wins and a draw and Slomka expects more of the same from his motivated players.
"My team knows that they can go top of the table," he said.
Goalkeeper Ron-Robert Zieler, who celebrated his first ever call-up to the Germany national team with an impeccable performance in Spain, also sees no reason why Hannover cannot carry on winning.
"This team has the potential to prolong this hysteria," he told the Bild newspaper.
Mainz have not had so much to smile about in Europe this season, though.
They were eliminated by Romanian side Gaz Metan Medias at the first hurdle, but they recovered from that disappointment to win their first two games of the Bundesliga season and coach Thomas Tuchel wants them to react in the same way to their first league defeat against Schalke last weekend.
"It is just like after the Medias defeat," said Tuchel. "We can only wait and see what the next two games bring.
"If we lose those, then the Schalke game will be to blame, but if we win them, then it will be a great performance by the coach to get the Schalke game out of the players' heads."
Tuchel does not have any new ideas to motivate his team.
"We are not going to do anything differently to before," he said. "We just carry on like any top sportsperson does.
"We have a mature mentality when it comes to dealing with success and failure and part of this is being able to put games behind you."
Tuchel does not expect it to be easy in the Niedersachsen Stadion, where his side have not won for over a decade.
"They run a lot and are a tactically very disciplined opponent," he added.
He is without Radoslav Zabavnik, Adam Szalai and Florian Heller while Slomka could bring Didier Ya Konan back into his side to give Jan Schlaudraff a rest.