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This letter proposes a direct construction for cross Z-complementary sets(CZCSs) with flexible lengths and a large zero correlation zone (ZCZ). CZCS isan extension of the cross Z-complementary pair (CZCP). The maximum possible ZCZwidth of a CZCP is half of its sequence length. In this letter, for the firsttime, a generalized Boolean function based construction of CZCSs with a largenumber of constituent sequences and a ZCZ ratio of $2/3$ is presented. Forintegers $m$ and $\delta$, the proposed construction produces CZCS with lengthexpressed as $2^{m-1}+2^\delta$ ($0 \leq \delta <m-1,m\geq 4$), where both oddand even lengths CZCS can be obtained. Additionally, the constructed CZCS alsofeature a complementary set of the same length. Finally, the proposedconstruction is compared with the existing works.

A Direct Construction of Cross Z-Complementary Sets with Flexible Lengths and Large Zero Correlation Zone