"These are two key games, vital to our future and we have to try to win all six points, that is the mentality that I am bringing," Rodriguez said.
Brazil coach Tite has said he wants his team to play some of the tournament favorites. He also mentioned wanting to play at Italy and at Spain.
Liverpool pair Philippe Coutinho and Roberto Firmino have been named in the latest Brazil squad.
Flamengo playmaker Diego and Sport forward Diego Souza received surprise calls to the Brazil squad for this month's World Cup qualifiers.
Messi will be joined by Javier Mascherano, Gonzalo Higuain, Sergio Aguero and Angel Di Maria for Argentina's March qualifiers.
CAS detailed a timetable on Thursday that should take several months to reach a verdict.