Their call comes on the same day the BBC said a reporting crew spent two nights in a Qatari jail for trying to film migrant workers who are building the infrastructure for the sporting event.
FIFA, soccer's governing body, also said the tournament will be played over "a reduced timeframe." Separately, FIFA announced that France will host the 2019 Women's World Cup.
It had been ranked 209th out of 209 national teams — but Bhutan will now progress to the second round of World Cup Qualifying, after beating Sri Lanka in consecutive matches.
Soccer's World Cup is typically played over the summer, but temperatures in Qatar during that season can exceed 110 degrees. A winter tournament would coincide with the European club season.
Prince Ali Bin Al Hussein said he is running against incumbent Sepp Blatter because he believes "it is time to shift the focus away from administrative controversy and back to sport."
Soccer's governing body also announced that it would not revisit the bidding of the 2018 and 2022 World Cups, because there were no legal grounds to do so.
Soccer's governing body will, among other things, discuss preparations for the 2018 World Cup. But it's the resignation of Michael Garcia over his corruption report that is likely to draw attention.
Michael Garcia had filed an appeal against how his report into the bidding process for the 2018 and 2022 soccer World Cup was handled. FIFA said his appeal is inadmissible.
Sepp Blatter, who heads soccer's governing body, said the companies that employed the migrant laborers building the infrastructure for Qatar's 2022 World Cup were responsible for their safety.