The initiative comes from US House Speaker Mike Johnson and Israeli Knesset Speaker Amir Ohana, who have asked the Polish parliament to back their nomination efforts.
Czarzasty said he would outline his position on Monday.
The request arrived amid a diplomatic row over Trump's recent comments about NATO allies' contributions to military operations.
In an interview with broadcaster Fox News earlier this month, Trump questioned whether allies would help the United States and downplayed NATO assistance during the Afghanistan war – the only time NATO’s Article 5 collective defence clause has been invoked.
Czarzasty condemned Trump's remarks as "scandalous" during a wreath-laying ceremony on Friday at a monument to Polish soldiers who died in overseas missions.
He noted that 124 Polish military personnel have been killed serving abroad.
"Regardless of alliances, we as Poles should demand respect for our soldiers," Czarzasty said.
He also criticised Polish President Karol Nawrocki for not condemning Trump's comments.
At the same ceremony, Polish Deputy Senate Speaker Magdalena Biejat called on Trump to apologise to Polish veterans who fought in Afghanistan and Iraq.
She also urged Polish politicians, particularly Nawrocki, not to join Trump's Board of Peace, saying the solution should be "to strengthen existing alliances, not create alternative bodies."
Nawrocki responded to Trump's remarks, saying "Polish soldiers are heroes" who "deserve respect."
He also expressed confidence that Trump "did not have Poland in mind, because 48 hours earlier he spoke about Polish soldiers as 'great warriors,' repeating this multiple times."
Meanwhile, a Polish veterans' family association has asked Poland's foreign ministry to issue a formal diplomatic note demanding that Trump retract his remarks.
(ał/gs)
Source: PAP