Yes, the Church permits it…but does that make it a good idea? Should we do anything just because it is permitted? There may be many good reasons NOT to do something that is permitted.
Some citations from the Congregation for Divine Worship’s Letter on Altar Servers:*
…may not, in any way, exclude men or, in particular, boys from service at the altar, nor require that priests of the diocese would make use of female altar servers, since “it will always be very appropriate to follow the noble tradition of having boys serve at the altar” (Circular Letter to the Presidents of Episcopal Conference, March 15, 1994, no. 2). Indeed, the obligation to support groups of altar boys will always remain, not least of all due to the well known assistance that such programs have provided since time immemorial in encouraging future priestly vocations (cf. ibid.)
With respect to whether the practice of women serving at the altar would truly be of pastoral advantage in the local pastoral situation, it is perhaps helpful to recall that the non-ordained faithful do not have a right to service at the altar…
Therefore, in the event that Your Excellency found it opportune to authorize service of women at the altar, it would remain important to explain clearly to the faithful the nature of this innovation, lest confusion might be introduced, thereby hampering the development of priestly vocations.
*
full document:
adoremus.org/CDW-AltarServers.html
You’ll note that from the letter that “…no priest is obliged to have female servers, even in dioceses where this is permitted. The letter stressed that no one has a “right” to serve at the altar, and also strongly reaffirmed that altar boys should be encouraged.”