Popa, 52, has a background that includes management positions within lenders such as Alpha Bank Romania, Unicredit Romania, HVB Bank, Bancpost and Raiffeisen.
He received 95% of votes from the shareholders present. He has been an interim member of the Supervisory Board since November 21.
Other board members include Ilie Carabulea (president), Nicolae Petria, Doina Toader and Ioan Trenca.
The bank is controlled by Carabulea with a 41.28% stake. One of his business partners, Corneliu Tanase, holds an 11.21% stake in the bank.
Banca Carpatica shares closed flat Tuesday on the bourse, at RON0.054. (EUR1=RON4.3534)