As mentioned in the Code of Canons of the Oriental Churches (1990), the place of the sacrament is ordinarily to take place within in the church and according to the law of the particular church.
The Iconostasis is what sets apart the sanctuary from the rest of the parish church. During the sacrament, you would stand before the Icon of Jesus Christ, facing (with the priest) the icon itself.
In other Eastern churches– for example, in the Maronite rite — the sacrament does not take place before the iconostasis, but rather it takes place in a confessional. This is very Roman and is the result of that Eastern church’s assimilation of Roman practice. (Chupungco says that none of the Eastern Churches use the Roman confessional, but the experience of persons who attend a local Maronite church disprove that).