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We discuss the N=2 extension of Polyakov-Bershadsky $W_3^{(2)}$ algebra withthe generic central charge, $c$, at the quantum level in superspace. Itcontains, in addition to the spin 1 N=2 stress tensor, the spins $1/2, 2$bosonic and spins $1/2, 2$ fermionic supercurrents satisfying the first classnonlinear chiral constraints. In the $c \to \infty $ limit, the ``classical''N=2 $W_3^{(2)}$ algebra is recovered.Comment: 8 pages, LaTeX, name of the first author extende

QUANTUM N = 2${\rm SUPER}-W_3^{\left( 2 \right)} $ ALGEBRA IN SUPERSPACE