Hi Smelval,
When something is "perverse", it is outside of what is normally socially acceptable. It is almost un-natural, and goes against accepted ideals, standards and practice.
I'm presuming that you know what "satisfaction" is - simply a feeling of being satisfied, a pleasure gained from a fulfilment of a need, or an expectation.
So in putting them together, a perverse satisfaction is some kind of un-natural, strange, not normal pleasure gained from something.
For example:
A psychopath gains a perverse satisfaction in murdering his/her victims.
contrary to the accepted or expected standard or practice