The Foxes drew 0-0 with Manchester City at King Power Stadium on Tuesday night and the goalkeeper's disappointment after the final whistle indicated that the East Midlands outfit have strong ambitions for the 2015/16 Premier League season.
Leicester sit second on the table, equal on points with Arsenal but behind on goal difference, and Schmeichel made no secret of their desire to continue matching it with, and beating, England's bigger clubs as they go after an unlikely premiership.
"It was a pretty fair result - slightly disappointed but that's the way it goes," he told BT Sport.
"We'll take the point and clean sheet and move on. We're a very good team, we've proved that - we're still up there in the mix.
"It's where we expect of ourselves and in the matches we've been able to set that standard.
"It's one game at a time - it's cliche, it's boring, but it's the only way you can do it.
"Nothing's won in December, there's a long way to go."