I don't think this would be an easy task, because Z3 uses a tightly integrated internal SAT solver. The necessary tight integration with the SAT solver means that Z3 would have to interact via the low-level API of the external SAT solver, e.g. with push and pop functionality. These APIs are not standardized, so the task of integrating e.g. with MiniSat would be different than e.g. the task of integrating with Lingeling. I don't say it's not possible, because Z3 has a modular architecture that is meant to be extended, but I think this would be a major work effort.
It might be that one of the Z3 devs shows up and proves me wrong, though.