Word or Phrase Meaning False Self-Criticism
It’s a humblebrag. NOAD defines it as:
an ostensibly modest or self-deprecating statement whose actual purpose is to draw attention to something of which one is proud.
The article The 50 Funniest ‘Humble Brags’ on Twitter mentions different types of humblebrags and gives examples:
From the, “It’s not a brag, I’m just complaining” humble brag to the, “this isn’t a brag I’m just being self-deprecating” humble brag, the universe is vast and the number of offenders, seemingly limitless.