If a language does not satisfy $pumping\,lemma$ it is not $regular$, but if a language satisfies $pumping\,lemma$ then it may or may not be $regular$ and every $regular\,language$ will satisfy $pumping\,lemma$.
In the above statement, complement of langauge $L$ is not $regular$. So, $L$ is not $regular$, So, it may or may not satisfy $Pumping\,lemma$.
So, the above statement is correct.