AC20-131A "Airworthiness Approval of Traffic Alert and Collision Avoidance Systems (TCAS II) and Mode S Transponders" which may be found
here provides a range of TCAS manoeuvres (in Table I of the "par3" file) which are to be met in order to permit the CLIMB RAs to be issued by the system. However, it is not considered necessary to meet the requirements as a steady-state manoeuvre - speed may be traded for altitude provided the various speed minima specified are respected.
Assuming Airbus used this guidance material, then of course adequate (aerodynamic) performance must exist to respond to the RA. Unless you're in an unusual configuration there should never be a concern that responding per the RA will cause any kind of handling/performance issues.