We believe that Christ has the human faculty of will, but we do not confess two wills, because this means for us two independent wills and therefore two identities or subjects.
The Word who wills is one, and what he wills is one, therefore his will is one, even though it is expressed in and through the divine faculty of will - which is beyond our comprehension, and the human faculty of will which he shares with us and redeems for us. The statement of the EO 6th council has always seemed acceptable to me...
We likewise declare that in him are two natural wills and two natural operations indivisibly, inconvertibly, inseparably, inconfusedly, according to the teaching of the holy Fathers. And these two natural wills are not contrary the one to the other (God forbid!) as the impious heretics assert, but his human will follows and that not as resisting and reluctant, but rather as subject to his divine and omnipotent will. For it was right that the flesh should be moved but subject to the divine will, according to the most wise Athanasius. For as his flesh is called and is the flesh of God the Word, so also the natural will of his flesh is called and is the proper will of God the Word, as he himself says: “I came down from heaven, not that I might do mine own will but the will of the Father which sent me!” where he calls his own will the will of his flesh, inasmuch as his flesh was also his own. For as his most holy and immaculate animated flesh was not destroyed because it was deified but continued in its own state and nature (ὄρῳ τε καὶ λόγῳ), so also his human will, although deified, was not suppressed, but was rather preserved according to the saying of Gregory Theologus: “His will [i.e., the Saviour’s] is not contrary to God but altogether deified.”
This seems to adequately recognise the unity of will, while also describing the natural human faculty of will. What I would absolutely resist as error is any idea that the human Jesus willed differently to the divine Word. The OO confess that the human Jesus is the divine Word and therefore has one will, which is expressed humanly and divinely.