Neville was his side's unlikely hero after hitting the decisive penalty in the fourth-round replay at Stamford Bridge.
"This could be the springboard for us," said full-back Neville.
"We've set the standard today and we must not drop below that.
"There is still plenty to play for in the league if we pull our socks up."
Neville said of his penalty, which followed misses from Chelsea's Nicolas Anelka and Ashley Cole and from team-mate Leighton Baines, whose magnificent free-kick set up the shoot-out: "I knew I was going to score, I knew where the ball was going to go - and that's half the battle.
"We've been practising all week. The manager just told us to hit them as hard as possible.
"My biggest worry is that there was a big divot in the penalty spot. Petr Cech looks really big, but luckily he dived the wrong way."