A Twitter user posted photos this morning of two signs which read, "No means no" and "Stop picking Kuggeleijn" with the tweets: "Got tickets am AMPED for the cricket today," and "I'm going today, with my sons... Will be holding these...."
One female fan retweeted the post with the comment "Good on you, hope they listen".
New Zealand Cricket couldn't confirm whether or not the signs would be allowed.
"The test will be whether the signs are deemed offensive, and/or whether they are deemed both offensive and targeting an individual player," a NZC spokesperson said.
"This will be judged on a case-by-case basis."
New Zealand Cricket public affairs manager Richard Boock told NZME yesterday that the decision to remove the banner on Wednesday was a mistake.
"We agree the course of action taken was an overreaction and unnecessary, and that the message certainly wasn't offensive.
"NZC has a venue policy that does not allow the targeting of players - but policies are guidelines; they're not written in stone, and we should have shown better judgement and exercised more discretion.
"We apologise unreservedly and will be discussing this in our debrief with a view to avoiding similar mistakes in the future."
Kuggeleijn contributed 20 runs from seven balls in the Black Caps' record 80-run win on Wednesday, but struggled with the ball, conceding 34 runs from his two overs.