Rojas played as an attacking midfielder for the reserve side of Club Olimpia, and made appearances for the Paraguay national under-23 football team, before joining Olimpia's first team. He made his Paraguayan Primera División debut for Olimpia against Club Sol de América on 10 April 2004. He made 26 appearances for Olimpia from April 2004 to May 2005.
Rojas left Olimpia in 2005, moving to Chile to play for Club de Deportes Concepción. One year later he returned to Paraguay where he joined Club 12 de Octubre. He scored four goals in 31 games with 12 de Octubre during 2006.
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