"It will be part of the evaluation, and I am sure it will not help the United States to get the World Cup," Ceferin said of a U.S. travel ban.
Former Russia international and Chelsea midfielder was criticised in 2015 for comments made to the BBC, when he said: "There's no racism in Russia."
President says he has "full confidence in Russian authorities -- they are taking this matter very, very seriously."
Speaking during a visit to 2022 hosts Qatar, he said the move would be "in line with our sustainability and legacy policies."
Front-page report in L'Equipe said Anelka had allegedly aimed a crude insult at the then national team coach Raymond Domenech.
Russian hooligans have warned England fans that they are "100 percent guaranteed" to be targeted at the 2018 World Cup.