  Assuming the existence of Siegel zeros, we prove that there exists an
increasing sequence of positive integers for which Chowla's Conjecture on
$k$-point correlations of the Liouville function holds. This extends work of
Germ\'an and K\'atai, where they studied the case $k=2$ under identical
hypotheses.
  An immediate corollary, which follows from a well-known argument due to
Sarnak, is that Sarnak's Conjecture on M\"obius disjointness holds. More
precisely, assuming the existence of Siegel zeros, there exists a subsequence
of the natural numbers for which the Liouville function is asymptotically
orthogonal to any sequence of topological entropy zero.
