The 25-year-old equalled Chris Armstrong's tally of 23 Premier League goals for the Eagles during last weekend's 2-0 win over Fulham, and has since signed a new deal which will keep him at the club until 2023.
Zaha is keen to celebrate his contract extension with another goal against Liverpool, which would be enough for him to hold the outright record as Palace's leading Premier League marksman.
Asked if he could break the record soon, he told the club's official website: "Hopefully Monday! It's nice to see that I've managed to reach that level and I can break it on Monday. It's nice to know all the effort I'm putting in is actually paying off."
Zaha netted a career-high nine Premier League goals last season as Palace overcame a poor start to the campaign to comfortably survive.