The Toffees are currently fourth in the Premier League table and remain the only unbeaten side in the top flight.
"The coach (Roberto Martinez) and the team certainly believe we can do this," Mirallas told BBC Sport.
"We're playing well and it's not by investing in £30m or £40m players. The team is better this season than last."
Everton travel to the Etihad Stadium to take on Manchester City on Saturday.