In the Orthodox Church in America, it is mandatory that all Orthodox Christians confess at least once per year during Lent. More frequent confession is, however, strongly encouraged. Whoever said the Orthodox do not have confession is very misinformed.
On a side note, how confession is made in Eastern churches looks rather different as there is no anonymous confession, nor are their confession booths. Although not “public,” confession is made in the open in the nave in front of either an icon of Christ or the Theotokos, or with the Gospel book. If more than one person is present, there will usually be a Reader present chanting from the Psalms so as to provide privacy to the one confessing.