The AC Milan defender is optimistic that the Argentine trainer can turn things around for los Cafeteros and kick-start their qualifying campaign
Colombia face Mexico in Pekerman's first game in charge this week after the Argentine coach replaced Leonel Alvarez, who lasted only three months in the job.
Yepes believes that the new coach will employ an eye-catching style of football, starting against the Mexicans.
"I can assure you that Pekerman demands a big reputation in South America and always demands attractive football," the 36-year-old said according to Fifa.com.
Yepes is familiar with the trainer who was in charge of the Argentina Under-20 side during his time at River Plate.
"Lots of the players he picked at the time were playing alongside me at River and they told me good things about him, especially his desire to play polished and technical attacking football.
"He has the quality and experience to do something with us. I think that, as an Argentine, he'll be under less pressure from the media and fans."
Colombia currently sit sixth out of nine teams in the 2014 World Cup Conmebol qualifying table but still have plenty of games remaining and Yepes is confident that Pekerman can turn things around.
"I hope he will be able to lead us to the next World Cup and I'm really optimistic that he will."
Pekerman will hope to get off to a strong start against Mexico in Miami on Wednesday evening.