The former Chelsea goalkeeper is optimistic ahead of the knockout stages.
Indeed, the ex-Chelsea goalkeeper was asked by Jeff Stelling whether the west London side could do the unthinkable and win the competition.
And the 43-year-old was receptive to the idea, being impressed by their performance during the 2-0 win over Porto and suggesting no European team will want to face them.
Schwarzer told Sky Sports after Wednesday night's full-time whistle: "No one will want to play them.
"They quietened a lot of critics. The Champions League has been a real opportunity to prove some people wrong."
Funnily enough, the last time Chelsea faced Premier League adversity, they did exactly that and won the Champions League.
Their situation was not quite this bad domestically - Roberto di Matteo secured a sixth-placed finish in the Premier League and the Blues currently sit 14th in the table.
But the bigger the league struggles, the higher the motivation for Chelsea to succeed in Europe - and secure qualification for next season's Champions League.
And who better than Jose Mourinho to make it happen? Or is it too soon for fans to get ahead of themselves?