Yes. Free choice is an appetitive power because free choice is that by which we choose.
Liberum arbitrium est virtus appetitiva quia liberum arbitrium est secundum quod eligimus.
Judgment, as it were, concludes and terminates counsel. Now counsel is terminated, first, by the judgment of reason; secondly, by the acceptation of the appetite: whence the Philosopher (Ethic. iii, 3) says that, "having formed a judgment by counsel, we desire in accordance with that counsel." And in this sense choice itself is a judgment from which free choice takes its name.
Iudicium est quasi conclusio et determinatio consilii. Determinatur autem consilium, primo quidem per sententiam rationis, et secundo per acceptationem appetitus, unde philosophus dicit, in III Ethic., quod "ex consiliari iudicantes desideramus secundum consilium". Et hoc modo ipsa electio dicitur quoddam iudicium, a quo nominatur liberum arbitrium.
This comparison which is implied in the choice belongs to the preceding counsel, which is an act of reason. For though the appetite does not make comparisons, yet forasmuch as it is moved by the apprehensive power which does compare, it has some likeness of comparison by choosing one in preference to another.
Ista collatio quae importatur in nomine electionis, pertinet ad consilium praecedens, quod est rationis. Appetitus enim, quamvis non sit collativus, tamen inquantum a vi cognitiva conferente movetur, habet quandam collationis similitudinem, dum unum alteri praeoptat.
The proper act of free choice is choice: for we say that we have a free choice because we can take one thing while refusing another; and this is to choose. Therefore we must consider the nature of free choice, by considering the nature of choice.
Proprium liberi arbitrii est electio, ex hoc enim liberi arbitrii esse dicimur, quod possumus unum recipere, alio recusato, quod est eligere. Et ideo naturam liberi arbitrii ex electione considerare oportet.
Now two things concur in choice: one on the part of the cognitive power, the other on the part of the appetitive power. On the part of the cognitive power, counsel is required, by which we judge one thing to be preferred to another: and on the part of the appetitive power, it is required that the appetite should accept the judgment of counsel.
Ad electionem autem concurrit aliquid ex parte cognitivae virtutis, et aliquid ex parte appetitivae, ex parte quidem cognitivae, requiritur consilium, per quod diiudicatur quid sit alteri praeferendum; ex parte autem appetitivae, requiritur quod appetendo acceptetur id quod per consilium diiudicatur.
Therefore Aristotle (Ethic. vi, 2) leaves it in doubt whether choice belongs principally to the appetitive or the cognitive power: since he says that choice is either "an appetitive intellect or an intellectual appetite." But (Ethic. iii, 3) he inclines to its being an intellectual appetite when he describes choice as "a desire proceeding from counsel." And the reason of this is because the proper object of choice is the means to the end: and this, as such, is in the nature of that good which is called useful: wherefore since good, as such, is the object of the appetite, it follows that choice is principally an act of the appetitive power. And thus free choice is an appetitive power.
Et ideo Aristoteles in VI Ethic. sub dubio derelinquit utrum principalius pertineat electio ad vim appetitivam, vel ad vim cognitivam, dicit enim quod electio vel est intellectus appetitivus, vel appetitus intellectivus. Sed in III Ethic. in hoc magis declinat quod sit appetitus intellectivus, nominans electionem desiderium consiliabile. Et huius ratio est, quia proprium obiectum electionis est illud quod est ad finem, hoc autem, inquantum huiusmodi, habet rationem boni quod dicitur utile, unde cum bonum, inquantum huiusmodi, sit obiectum appetitus, sequitur quod electio sit principaliter actus appetitivae virtutis. Et sic liberum arbitrium est appetitiva potentia.