Ironically, Nietzsche is considered (by some) to be one of the fathers of postmodern thought. His criticism of the objectivity of science in "On Truth and Lies in a Nonmoral Sense", his deconstruction of the Western concept of self in "The Anti-Christ", and to some extents his criticism of 19th-century historiography in “On the Uses and Disadvantage of History for Life” and other books are touchstones which presage a lot of postmodern discussion of these topics.

Check out https://muse.jhu.edu/article/27340 for the argument against though!