Sanchez was sent off for Colombia in their first match against Japan just three minutes in, leaving the former Aston Villa midfielder exposed to a series of online death threats from social media users.
"This victory is dedicated to Carlos Sanchez," Pekerman told reporters.
"He has had a very hard time over these last few days. We achieved this win and I wanted to share it with him, I'm expressing it personally but all the squad feel it."
The death threats were a reminder to many of the disturbing murder of former Colombia defender Andres Escobar, who was killed days after scoring an own goal at the 1994 World Cup.