The 26-year old has been rewarded for his fine MLS form so far this season which has netted him five goals in 10 appearances for SKC.
Pal Dardai's Hungary side meet Lithuania in a friendly in Debrecen on June 5 before taking on Finland in Euro2016 qualifying in Helsinki on June 13.
Of his selection, 15-time international Nemeth said: "I am excited to be back with the national team for this very important qualifier.
"Every game is significant at this stage and I am proud to be a part of the squad to continue our qualifying campaign for the European Championship."
Hungary currently sit third on the Group F qualifying table, five points behind leaders Romania, for next summer's UEFA tournament in France.