I was asked to write 2 paragraphs about a inanimate object that belongs to me and use Salinger's writing style. What is Salingers writing style?

I think that the assignment calls for you to mirror how
Salinger's narration helps to construct the novel.  For example, you would pick the item
of importance and then discuss its importance, significance, memories attached to it in
a manner that is more conversational, than anything else.  Salinger's narration and
Holden's discussions with the reader are not bound by a traditional structure.  They are
wide ranging and expansive.  This helps to accomplish two elements.  The first is that
it shows how Salinger is conscious of not wanting to embrace traditional methods of
storytelling in this narrative.  Consider the opening lines of the work and the
indictment of the standard Dickens form of narration.  This style also helps to bring
out how different Holden is in that his mind is almost like a field where there is
little sense of structured guidance, but rather musings that are open to just about
anything.  In this, I think that the discussion of your object is to be told in this
manner where there is not necessarily a structured narrative, but rather one that speaks
directly to the reader thoughts and impressions from your own world in the hope of
forging connection to their own.