Halifax are seventh in the National League, three points above Wrexham with a game in hand.
If Town win, and Eastleigh and Bromley fail to win, the gap to those teams immediately outside the play-offs would be six points.
“Big game isn’t it, big game for both teams and we’ve just got to keep doing what we’re doing,” said Wild.
“We know the importance of Tuesday night, we don’t want anybody to come to The Shay and turn us over.
“We’re really excited about Tuesday night, what a game, what a time of the year to be still involved in the right end of the table.
“One of the lads’ aims this season was to get to 50 points, we’ve achieved that, so that’s complete.
“We now need to push on with the rest of what they want to achieve.”
Wild said midfielder Luke Summerfield, who came off the bench in Saturday’s 1-0 win at Altrincham, could be fit enough to start if selected against Wrexham, his former club.
Backup keeper Harrison Davison-Hale is expected to return to the squad on Tuesday night, with loanee Chris Renshaw having returned to parent club Witton Albion.