Since taking office for the second time, Trump has signed an executive order to draft a list of countries that will mean a partial or full suspension on visitors from some nations.
It is unclear if China is on the proposed list, but non-American residents have experienced increased difficulty in re-entering the country in recent months.
Faz said it was in the “best interest” of the US-based players not to make the trip.
“After working through the process instigated by recently introduced measures it was decided that it is in the best interest of our players to skip this assignment,” Faz general secretary Reuben Kamanga said.
“They will definitely be available for future assignments as they were for the last window when we played Malawi.”
Zambia face Thailand on 5 April before taking on either hosts China or Uzbekistan on 8 April.
