LONDON—Sepp Blatter, the currently suspended president of soccer’s world governing body, has suggested that the 2022 World Cup was bound for the U.S. before a late political maneuver sent it to Qatar.

In an interview published on Wednesday by the Russian news agency TASS, Blatter said that FIFA’s 22 eligible voters were set in their voting plans until Michel Platini, the suspended head of European soccer’s governing body, urged four voters to change their minds.

Blatter’s...