The Merseyside club currently sit in ninth spot, five points behind fourth-placed Manchester United.
He said: "All the squad need to be aware of the fact we've got this opportunity now to try and push on. Players are remembered for being successful and that's what I want.
"If we're ready and prepared to take on these teams over the next few weeks and months, who knows where we can end up?"
Everton will travel to West Ham on Saturday.