The shareholders will also discuss revoking Board member Ionica Raicu.
Schmidt has been Chairman of the Board since April 2009.
Transgaz is 73.5%-owned by the Economy Ministry. Investment fund Fondul Proprietatea (FP.RO) has almost 15% of its shares and the rest is distributed among minority shareholders.
On the Bucharest Stock Exchange Wednesday, Transgaz was trading up 0.1% at 204 lei (EUR45) per share. (EUR1=RON4.5316)