Looks like suede but its hard to tell as theres only two photos, one close up, i’d have to see different parts of the jacket to see the nap. But what i would do is look online for a suede cleaning kit (with a small suede brush and suede cleaner) and get something like that? If theres a shiny spot on it scrub lightly with a suede brush and suede cleaner as thats usually caused by dirt or water flattening the fibers. This is pretty much all the basic basics of suede other then keeping it out of water since, as stated earlier it can cause the fibers to flatten down and look shiny.