Greece's players exercise during a training session at the Euro 2012 soccer championship in Legionowo about 25 kilometers (15 miles) north of Warsaw, Poland on Friday, June 15, 2012.
Defensive midfielder Theo Zagorakis set the record in 2007.
Karagounis is one of three remaining players in the Greece squad from the winning team at Euro 2004.
The 35-year-old midfielder and his teammates have to beat leader Russia in their final Group A game to advance in the tournament, after losing 2-1 to the Czech Republic and drawing 1-1 with co-host Poland.
Coach Fernando Santos is missing first-choice goalkeeper Costas Chalkias and central defender Avraam Papadopoulos.