Frederik August Albrecht Schram is a Danish-born Icelandic football goalkeeper, who currently plays for FC Roskilde.

Frederik is a product of Danish Dragor Boldklub and as a teenager Odense Boldklub Youth Sportive system. Frederik represented his country in the youth international level and was called-up to the senior international team on November 2015 for matches against Poland and Slovakia, but did not make a debut. He made his first international appearance on 9 February 2017 in a friendly match against Mexico.