[This is, well, it is hardly something he would do under ordinary circumstances but Javert does have to admit there is something soothing about this as he moves on to actually petting the cat instead.]

Well. A most unusual state of affairs, cat. [And he is nodding to the creature in turn, but this is more of a nod of respect because the cat seems to understand entirely what he is in need of. How? That is the type of question he does not wish to consider as of yet.] I owe you a thank you.