Nabokov is a tough nut to crack, and people love to argue about whether he's a modernist or postmodernist. Makes sense, we guess, since there's a definite continuity between the two—and Nabokov most likely dabbled in both.
Nabokov's most postmodern novel is Pale Fire, which, like Italo Calvino's If on a winter's night a traveler, has an experimental narrative structure and dashes our expectations. Not only does it draw attention to the processes of producing and reading a text (it's totally meta), it doesn't point to art as a way of recovering lost meaning—instead, it revels in its chaos and refuses to provide any clear-cut answers. Along with works such as Pnin (1957), Ada or Ador (1969), and The Gift (1970), Pale Fire helps demonstrate why Nabokov is regularly named as a postmodern trailblazer.