The Africans were dominant on Sunday night as they claimed their first win at a World Cup in 32 years.
As a result, they must now avoid defeat to Russia in their final group game to book their place in the second round of the tournament.
"I'm very proud to be the captain of an Algerian team that has won a World Cup match for the first time in 32 years. It's a great honour for me to make Algerian footballing history as part of this very close-knit squad who put in an exceptional performance," Bougherra told FIFA.com.
"We have made our fans happy with this win and we now have a chance to make it through to the round of 16, but we need to forget about this victory over Korea first and get our feet back on the ground."
Algeria return to action against Russia on Thursday.