"I can only pick 23 players for the World Cup", Andersson said at Tuesday's squad unveiling.
12 teams from around Europe are set to feature in the flashy new tournament with Liverpool, Manchester United, Real Madrid, Barcelona, AC Milan, Bayern Munich, Inter Milan, Juventus and Ajax all nearly guaranteed of participation in the show piece.
The first edition of FIFA's proposal is due to take place in 2021 and consists of a 24-team competition held every four years, during the second half of June.
The other 12 teams would be from outside of Europe, with at least four South American sides and a selection from Africa, Asia, North America and Oceania.
Furthermore Barcelona's math suggests the new tournament would reduce by more than 35 percent the number of games its players have to compete in, based on the current sum of the Confederations Cup and the Club World Cup matches. Six out of the previous 20 champions lifted the trophy on home soil, while two more hosts made it to the finals, and five more to the semis.
Federation Internationale de Football Association president, Gianni Infantino, wants to push on to get an agreement before the World Cup starts on June 14.
Russian Federation will host the FIFA World Cup for the first time in 2018, with the championship set to kick off on June 14 and continue through July 15.
Europe's top domestic competitions, including the English Premier League and Spain's La Liga, have also opposed FIFA's plans.