Last week, Girona confirmed they had accepted a proposal from Spanish top-flight organisers to stage a local derby against the champions in North America this season.
It would be the first such game to be held outside Spain since a groundbreaking 15-year deal was reached between LaLiga and multinational media, sports and entertainment company Relevent.
An AFE delegation, led by president David Aganzo, met with LaLiga officials on Monday to discuss the proposed match and express its "unease" at the plans to relocate it to the US.
"The players, through AFE, will be those who make a final decision on the match to be played in the United States," it confirmed in a statement following the meeting.
The players' union has been staunchly opposed to the plans since they were announced, having been aggrieved at not being consulted earlier by LaLiga.
Last month, Aganzo refused to rule out a strike after a meeting between the captains of all 20 top-flight clubs expressed unanimous "outrage" at the proposal.
Girona have said they are working with LaLiga and Barca to make the game go ahead in the US, with fans expected to have travel and accommodation costs subsidised.