Yes, Orthodox chrismation is unquestionably valid, so too Eastern Catholic chrismation.
Faculties are required in the Latin Church sui juris for a priest to confirm validly. However, this is not the case in the various Eastern Churches sui juris. The sacrament developed differently in the West and East. In the West, confirmation is tied to the direct action of the bishop in person. In the East, the sacrament is tied to the episcopally-consecrated oil used for chrismation. The episcopal action is mediated through the priest.
It can be a challenge for many Latin Catholics to grasp that the "una Ecclesia" we confess in the creed is, in fact, 24 separate Churches with their own identities and histories. These Churches, of which the Latin Church is overwhelmingly the largest, are joined through communion of faith while remaining distinct, e.g., the Ukrainian Catholic Church, the Maronite Catholic Church, the Coptic Catholic Church, the Syro-Malabar Cstholuc Church, etc. Latin Catholics tend to think of the "una Ecclesia" as the Latin Church alone with Eastern Catholics as oddities whose identity is simply that of a different liturgical Rite, not a different, yet fully-Catholic Church.