Well, I wouldn’t go so far as to say “encouraged”. Monastic life is still held in high regard, and bishops still primarily come from the celibate monastic ranks.
Some of our frequent Orthodox posters might be able to shed more light on this, but our sister (to the Byzantine Ruthenians) Carpatho-Rusyn Orthodox church, the American Carpatho-Russian Orthodox Diocese of the USA (ACROD), is currently in a situation where they have a shortage of candidates from their own ranks to fill the vacancy of their Metropolitan. It is becoming increasingly likely that their new bishop will come from another Orthodox tradition.
As you likely remember from our exchanges and other threads, the Byzantine Catholic-Ruthenian Church in the U.S. bore the brunt of the vehement reaction of American RC hierarchs to the presence of married clergy, who came with the waves of immigrants in the latter part of the 19th century. ACROD was formed largely as a reaction to this imposed prohibition. Here we are in 2012, where they do not have enough eligible (celebate) candidates in their own ranks to fill their episcopal vacancy.
Some say that the particular EC Churches in the US might suffer the same fate if the married priesthood becomes more the norm. There is some merit to that concern, and monastic life would (and surely should, nonetheless) have to be promoted and nurtured in tandem in order to avoid that situation. IMHO doing so - promoting and nurturing both - would be most faithful to our tradition and Eastern roots, contrary to promoting one or the other.