In my experience, while cryopreserving PBMCs works very well, doing so with monocytes or with monocyte-derived macrophages does not.
And if it is possible to retrieve some cells after thawing, we can assume that the many cells that died during the process will have produced many molecules that could be detected by the still alive macrophages and that they will then have a very biased behaviour upon restimulation.
With that being said, the best thing you can do is to test this by yourself as this is neither costly nor time-consuming.
The short answer is not with much success. Cells are highly sensitive to cryopreservation and thawing. Even with PBMCs, you see a significant loss of cell viability if you are not working with specialized freezing media and freezing/thawing protocols. Isolated cell subsets don’t like freezing/thawing and you may have almost all of the cells dying during the thawing process. Like Julien Verdier said, dead cells/debris may then be picked up by the live macrophages which could cause unintentional skewing of functional responses (some literature out there showing that macrophages that engulf apoptotic bodies are skewed to M2).