Well every **suppressor** is structured and assembled differently. What model and caliber are we talking about? Most of them have decent directions in the literature that comes with the suppressor, or the manufacturers website.
A lot of suppressors don't require cleaning, higher calibers generate enough force and heat to kind of self clean. Most don't recommend strong solvents that can eat through the thin baffles depending how it is constructed. Definitely do not put in any cleaning rods with patches, don't want to leave a patch jammed in a baffle corner somewhere.
Sonic cleaners can eat away at finishes and aluminum baffles too depending on the construction of the suppressor. I would recommend contacting the manufacturer and asking them.