Kammala jumla mai zuwa: Sargissian ya taka leda a Armenia a gasar Olympics ta Chess na 2000, 2002, 2004, 2006, 2008, 2010 da 2012. Ya dauki lambar tagulla a 2002 da 2004 da lambar zinare a 2006, 2008 da 2012. A cikin
2008 Chess Olympiad ya lashe lambar zinare don aikinsa na mutum a kan jirgin uku (+7 -0 =4 tare da darajar wasan kwaikwayon Elo na 2869). Ya kasance memba na ƙungiyar Armenia da ta lashe lambar zinare a Gasar Cin Kofin Duniya ta Teamungiyar Chess a Ningbo 2011. Ya kuma buga wa Armenia wasa a Gasar Kwallon Kafa ta Turai ta 2007, 2009, 2011, 2013 da 2015, inda ya lashe lambar azurfa ta tawagar a 2007 da 2015, da zinare na mutum a 2009. Sargissian ya buga wa "MIKA Yerevan" a gasar cin kofin kulob din Chess na Turai a 2008, 2009, 2010, 2011 kuma ya buga wa "CA Linex Magic Mérida" (Spain) a gasar cin kofin kulob din Chess ta Turai karo na 23 a Kemer 2007, inda ya lashe lambar zinare ta kungiya.